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About the Institute

The Institute for Research and Applications of Fuzzy Modeling (IRAFM) is a scientific place of work belonging to the University of Ostrava in Ostrava, Czech Republic. It is focused on theoretical research and practical development of various soft computing methods, i.e. special mathematical methods which make it possible to deal with imprecise information (usually given using natural language). Such methods can be used for design of more realistic models of ill defined systems. Such models, usually called “fuzzy models”, can be used in robust control of complex systems, in multi-criteria decision-making where many criteria can be non-quantifiable, optimization, effective approximation of functions, robust solution of differential equations, filtration of signal, and many others.

The institute has been established in Ostrava in September 1996 under the support of the Ministry of Education of the Czech Republic. The results of people from Ostrava region, part of them now working in IRAFM, are internationally renowned. The results of IRAFM have significantly contributed to the state of the art of soft computing methods, namely to the theory of mathematical fuzzy logic and the related algebraic functions, fuzzy approximation, general theory of fuzzy IF-THEN rules, general theory of linguistic meaning, approximate reasoning, and multi-criteria decision-making. The workers of IRAFM gave lectures in more than 25 countries in Europe, America and Asia. We also organize international conferences and meetings, for example IFSA’97(International Fuzzy Systems Association) World Congress (1997, Prague), International Conference “The logic of soft computing” (2005, Ostrava), International Conference EUSFLAT 2007 (European Society for Fuzzy Logic and Technology), (2007, Ostrava).

A specific result is development of original conception of Linguistically Oriented Fuzzy Logic Control (LFLC). Effective algorithms implemented in it make the user feel as if “human-like understanding” to natural language expressions. The software has been applied, among others, in fuzzy control of 5 aluminum melting furnaces in Al Invest Company in Břidličná (a small village in the Czech Republic).

Current activities of IRAFM

Theoretical foundations

  • Mathematical fuzzy logic in narrow sense (FLn): formal proving, abstract properties and models of fuzzy theories, fuzzy type theory (higher-order fuzzy logic).
  • Fuzzy logic in broader sense (FLb): extension of the formalism of fuzzy logic by the semantics of a certain part of natural language, development of the theory of approximate reasoning in linguistically specified knowledge bases and control strategies applied in fuzzy control, fuzzy modeling, and decision-making support.
  • Fuzzy approximation: development of methods for approximation of functions, differential equations and relations formalized within fuzzy logic; investigation of their optimality conditions.

Development of special methods and tools

  • Software system LFLC (it works under Windows 95/98/2000/NT/XP). It can be applied in automatic control, decision-making, and construction of models on the basis of principles provided by fuzzy logic. The system is integrated with Matlab/Simulink.
  • Control of various kinds of processes on the basis of known linguistically specified control strategy.
  • Managerial decision-making.
  • Classification on the basis of qualitative and quantitative information.
  • Mining linguistically characterized associations from large numerical data bases.
  • Robust solution of differential equations.
  • Analysis and forecasting of time series
  • Signal filtering.
  • Data compression and fusion of pictures.
  • Development of new evolutionary algorithms for global optimization in fuzzy models.

Past activities of IRAFM

  • Foundations of conceptual analysis of vague data: study of fuzzy concept lattices and related structures.
  • Mathematical programming and fuzzy optimization: development of theoretical foundations, methods and algorithms.
  • Higher abstract theories of fuzzy automata

The outputs of the institute consist of scientific publications and monographs as well as optimized computer routines making it possible to develop fuzzy models.

Projects – current

European project

  • OP VaVpI CZ.1.05/1.1.00/02.0070 Centre of Excellence IT4Innovations (2011-2015), Ministry of Education of the Czech Republic

International projects

  • GRANT N62909-12-1-7039 of the Department of the NAVY, USA, “F-transform – A New Promising technique for image and Signal Processing: How to make it’s Applications more reliable” (2012-2013)
  • Bilateral Czech-Russian project LH12229 “Research and development of methods and means of intelligent analysis of time series for tasks of strategic planning” (2012-2014)
  • Standard Visegrad Project No. 21520043″Student IT&Math Conferences in Visegrad” provided by theInternational Visegrad Fund (2016)
  • Bilateral mobilities in the frame of Socrates project with University of Latvia, Riga, Latvia (from 2009)

Projects – completed

Projects in the Czech Republic

  • Project of the Ministry of Education of the Czech Republic VS 96037 – foundation of the institute (1996-2000)
  • Grant of GA AV ČR A1086501 “Algebraic methods in fuzzy logic oriented to control and decision-making” (1995-1997)
  • Grant of GA ČR 201/96/0985 “Methods of learning in fuzzy expert system for control and decision-making” (1996-1998)
  • Post-doc grant of GA ČR 201/99/P060 “Conceptual lattices and conceptual data analysis in fuzzy logic” (1999-2000)
  • Grant of GA AV ČR A1187901/99 “Model theory in categories of fuzzy sets” (1999-2001)
  • Research plan CEZ:J09/98:179000002 “Modeling of complex systems in fuzzy and uncertain environment” (1999-2004), Ministry of Education of the Czech Republic
  • Grant of GA ČR 201/04/1033 “Approximate reasoning and generalized quantifiers” (2004-2006)
  • Project of the Ministry of Industry of the Czech Republic “Project FD-K3/033 – design and control of transformer of hydraulic head between mineral oil and water” (2003-2005)
  • Grant of GA AV ČR IAA1187301 “Theory of fuzzy functions and their representation” (2004-2005)
  • Project of the Ministry of Industry of the Czech Republic “Fuzzy control of gas expansion turbine TEX for propulsion of asynchronous generator” (2006-2008)
  • Research center 1M0572 “Data – Algorithms – Decision making” (2005-2009) of the Ministry of Education of the Czech Republic
  • Grant IAA108270901 “Cardinality of Fuzzy Sets and Fuzzy Quantifiers” of the Grant Agency of the Academy of Sciences of the Czech Republic (2009-2011)
  • Grant IAA108270902 “Theory of Semilinear Lattice-ordered Spaces” of the Grant Agency of the Academy of Sciences of the Czech Republic (2009-2011)
  • Research plan MSM 6198898701 “Logical and algebraical methods for processing of information under uncertainty and their applications in fuzzy modeling” (2005-2010) of the Ministry of Education of the Czech Republic

International projects

  • Cooperation on the project EU COST, action 15 “Many-Valued Logics for Computer Science Applications” (1997-1999)
  • Research stay “Research in pairs”, 1 month, Institut für Mathematik, Oberwolfach, Germany, Prof. Novák, Prof. Perfilieva (1998)
  • Post-doc fellowship, State University of New York, 12 months, Prof. Radim Bìlohlávek (1999-2000)
  • NATO Advanced Fellowship, 9 months, Prof. Radim Bìlohlávek (2000)
  • Project of Czech-American cooperation in science and technology W-00016, organization of common workshop “Current Trends in Soft Computing” (2001)
  • Czech-American cooperation KONTAKT ME-468 “Stratigraphic simulation using fuzzy logic for the modeling of dispersion of sediments” realized in the frame of cooperation on similar NSF project with SUNY, Binghampton, USA
  • Czech-Japan cooperation KONTAKT ME-200 “Methods for Decision Support in Environment with Uncertainty” (1998-2000)
  • Czech-German cooperation CZE 01/022 “Fuzzy relations as tools for modeling industrial processes” (2001-2003)
  • Czech-Japan cooperation KONTAKT ME-604 “Methods for Decision Support in Environment with Uncertainty” (2002-2004)
  • Czech-Italian project No. 17 “Fuzzy systems in soft computing methods” (2002-2004)
  • Czech-Chinese cooperation KONTAKT ME-702 “Special techniques of soft computing for decision-making in management” (2003-2004)
  • Mobility partner of CEEPUS SK-42 “Fuzzy logic” (1997-2005)
  • Czech-Chinese project in the frame of international cooperation 1P05ME739 “Special techniques of soft computing for decision-making in management” (2005)
  • Bilateral co-operation project Aktion 41p19 “Advanced fuzzy modeling” 6 months, JKU-FLLL, Linz, Austria, Martina Daňková, Martin Štěpnička, Radek Valášek (2005)
  • Bilateral mobilities in the frame of Socrates project with University of Catania, Italy (2001 – 2008)

About

phone: ++420-59-709 1401
e-mail: vilem.novak AT osu cz
born: June 21, 1951

Education:

  • Mining University, Ostrava, Dipl. Ing., 1969-1975
  • Charles University, Prague, PhD in Mathematical logic, 1982-1988
  • Institute for System Science of the Polish Academy of Sciences, DSc (doctor of sciences), 1995
  • Palacky University, Olomouc, Associate Professor, 1995
  • Masaryk University, Brno, Full Professor, 2001

Author or co-author of more than 200 publications from various fields in fuzzy set theory, fuzzy logic, fuzzy control and computer science.

Books:

  1. Novák, V.: Fuzzy Sets and Their Applications.
    SNTL Praha 1986, in Czech, 1st edition
    SNTL, Praha 1990, in Czech, 2nd Czech edition
    Adam-Hilger, Bristol 1989, in English, ISBN: 0-85274-583-4
  2. Novák, V.: The Alternative Mathematical Model of Linguistic Semantics and Pragmatics. Plenum Publishing Corporation, New York 1992, ISBN 0-306-44269-8
  3. Novák, V., I. Perfilieva and J. Močkoř: Mathematical Principles of Fuzzy Logic.
    Kluwer, Boston/Dordrecht 1999, ISBN 0-7923-8595-0;
  4. Novák, V., I. Perfilieva and J. Močkoř: Matematiceskije principy necetkoj logiki. Moscow: Fizmatlit, 2006. 347 pp. (in Russian). ISBN 5-9221-0399-7.
  1. Novák, V.: Foundations of Fuzzy Modeling. BEN, Prague 2000, in Czech.

Edited volumes:

  1. Novák, V., Ramík, J., Mares, M., Cerný, M., Nekola, J. (eds.): Fuzzy Approach to Reasoning and Decision-Making. Kluwer, Dordrecht 1992, Academia, Praha 1992. ISBN 80-200-0450-5 (Academia) ISBN 0-7923-1358-5 (Kluwer)
  2. Novák, V., I. Perfilieva (eds.): Discovering the World With Fuzzy Logic. Springer-Verlag, Heidelberg 2000, 555 pp. (Studies in Fuzziness and Soft Computing, Vol. 57) ISBN 3-7908-1330-3

Main topics of interest:

  • mathematical fuzzy logic,
  • approximate reasoning,
  • modeling of natural language semantics,
  • fuzzy control and various kinds of applications of fuzzy logic.

Further activities:

  • General chair of the organizing committee of the International Symposium on Fuzzy Approach to Reasoning and Decision–Making, Bechyně, Czechoslovakia, June 1990
  • General chair of the VIIth IFSA’97 World Congress, Prague, June 25–29, 1997.
  • General chair of the 5th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2007 Ostrava), Ostrava, Czech Republic, September 11-14, 2007
  • Guest editor of special issues of the following international journals: Int. Journal of General Systems, 1991 and 1997, Int. Journal of Advanced Computational Intelligence 1997, Soft Computing 2002, Fuzzy Sets and Systems 2005 and 2006.
  • Member of program committees of many international conferences
    (each year 2-5).

Member of editorial boards of the following journals:

  • Soft Computing
  • Fuzzy Sets and Systems.
  • International Journal of Applied Non-Classical Logics
  • International Journal of Computational Intelligence Systems
  • Journal of Applied Mathematics and Computer Science
  • Journal of Uncertain Systems
  • International Journal of Biomedical Soft Computing and Human Systems

Personal interests:

  • Music
    Own compositions:
    Vilém Novák: Stereotypes, Six pieces for piano (download scores)
    Vilém Novák: Sonata Quasi Impromptu for piano (download scores)
    Vilém Novák: Hrozba/Threat, Toccata for piano (download scores)
    Vilém Novák: Přeludy/Visions, Two pieces for flute and piano (download scores)

Publications

Monographs:

[1] V. Novák, Fuzzy Approach to Reasoning and Decision–Making. Kluwer, Dordrecht, 1992.

[2] V. Novák, Fuzzy množiny a jejich aplikace. SNTL, Praha, 1986.

[3] V. Novák, Fuzzy množiny a jejich aplikace. SNTL, Praha, 1990.

[4] V. Novák, Fuzzy Sets and Their Applications. Adam Hilger, Bristol, 1989.

[5] V. Novák, The Alternative Mathematical Model of Linguistic Semantics and Pragmatics. Plenum Press, New York, 1992.

[6] V. Novák, Základy fuzzy modelování. BEN-technická literatura, Praha, 2000.

[7] V. Novák, I. Perfilieva, Discovering the World with Fuzzy Logic. Springer-Verlag, Heidelberg, 2000.

[8] V. Novák, I. Perfilieva, J. Močkoř, Matematiceskije principy necetkoj logiki. Fizmatlit Nauka, Moskva, 2006.

[9] V. Novák, I. Perfilieva, J. Močkoř, Mathematical Principles of Fuzzy Logic. Kluwer Academic publishers, Boston/Dordrecht{London, 1999.

Chapters in monographs:

[1] R. Bělohlávek, A. Dvořák, D. Jedelský, V. Novák, Object Oriented Implementation of Fuzzy Logic Systems. In: Intelligent Systems for Manufacturing. Multi-Agent Systems and Virtual Organizations, Kluwer Academic Publishers, Boston, 1998, pp. 589-594.

[2] A. Dvořák, V. Novák, Fuzzy Type Theory as a Tool for Linguistic Analysis. In: The Logica Yearbook 2006, Filosofia, Prague, 2007, pp. 51-61.

[3] A. Dvořák, V. Novák, On the Extraction of Linguistic Knowledge in Databases Using Fuzzy Logic. In: Flexible Query Answering Systems. Recent Advances, Physica-Verlag, Heidelberg, 2001, pp. 445-454.

[4] A. Dvořák, V. Novák, The Extraction of Linguistic Knowledge Using Fuzzy Logic and Generalized Quantifiers.. In: Computational Intelligent Systems for Applied Research., World Scientific, Singapore, 2002, pp. 113-120.

[5] S. Gottwald, V. Novák, I. Perfilieva, Approximating Fuzzy Control Strategies via CRI. In: Proc. of IFSA 2003, Springer-Verlag, Berlín, 2003, pp. 203-210.

[6] V. Novák, A Brief History of Fuzzy Logic in the Czech Republic and Significance of P. Hájek for Its Development. In: Witnessed Years, Milton Keynes, 2009, pp. 209-225.

[7] V. Novák, A Concise Glance at the History of Fuzzy Logic in Czechia. In: Logic in Central and Eastern Europe, University Press of America, Lanham, 2013, pp. 526-542.

[8] V. Novák, Formal Fuzzy Logic and Its Use in Modeling of Vagueness and Computing with Words. In: Neural Networks and Soft Computing, Springer, Heidelberg, 2003, pp. 62-72.

[9] V. Novák, Formal Theories in Fuzzy Logic. In: Fuzzy Sets, Logics, and Reasoning about Knowledge, Kluwer, Dordrecht, 1999, pp. 213-235.

[10] V. Novák, From Classical to Fuzzy Type Theory. In: The Life and Work of Leon Henkin, Birkhauser, Basel, 2014, pp. 225-248.

[11] V. Novák, Fuzzy Logic. In: Handbook of Defeasible Reasoning and Uncertainty Management Systems, Kluwer, Dordrecht, 1998, pp. 75-109.

[12] V. Novák, Fuzzy Logic: Applications to Natural Language. In: Encyclopedia of Artificial Intelligence, Second Edition, John Wiley & Sons, New York, 1992, pp. 515-521.

[13] V. Novák, Fuzzy logic deduction with words applied to ancient sea level estimation. In: Fuzzy logic in geology, Academic Press, Amsterdam, 2003, pp. 301-336.

[14] V. Novák, Fuzzy Sets in Natural Language Processing. In: Introduction to Fuzzy Logic Applications in Intelligent Systems, Kluwer, Dordrecht, 1991, pp. 185-200.

[15] V. Novák, How Ideas of L. A. Zadeh Gave Rise to Mathematical Fuzzy Logic. In: On Fuzziness, Springer, Berlin, 2013, pp. 479-486.

[16] V. Novák, Mathematical fuzzy logic: from vagueness to commonsense reasoning. In: Rehtorische Wissenschaft: Rede und Argumantation in Theorie und Praxis, Lit Verlag GmbH & Co. KG Wien, Wien, 2008, pp. 191-223.

[17] V. Novák, Mathematical fuzzy logic in modeling of natural language semantics. In: Fuzzy Logic — A Spectrum of Theoretical & Practical Issues, Springer, Berlin, 2007, pp. 145-182.

[18] V. Novák, Models and submodels of fuzzy theories. In: Intelligent Systems for Information Processing: From Representation to Applications, Elsevier, Amsterdam, 2003, pp. 363-373.

[19] V. Novák, On the Logical Basis of Approximate Reasoning. In: Fuzzy Approach to Reasoning and Decision-Making, Academia, Kluwer, Praha, Dordrecht, 1992, pp. 17-27.

[20] V. Novák, Towards Formalized Integrated Theory of Fuzzy Logic. In: Fuzzy Logic and Its Applications to Engineering, Information Sciences, and Intelligent Systems, Kluwer, Dordrecht, 1995, pp. 353-363.

[21] V. Novák, Weighted inference systems. In: Fuzzy Sets in Approximate Reasoning and Information Systems, Kluwer, Boston, 1999, pp. 191-241.

[22] V. Novák, J. Kovář, Linguistic IF-THEN Rules in Large Scale Application of Fuzzy Control. In: Fuzzy If-Then Rules in Computational Intelligence: Theory and Applications, Kluwer, Boston, 2000, pp. 223-241.

[23] V. Novák, I. Perfilieva, Evaluating Linguistic Expressions and Functional Fuzzy Theories in Fuzzy Logic. In: Computing with Words in Information/Intelligent Systems 1, Springer, Heidelberg, 1999, pp. 383-406.

[24] V. Novák, I. Perfilieva, Evaluating Linguistic Expressions and Functional Fuzzy Theories in Fuzzy Logic. In: Computing with Words in Information/Intelligent Systems 1, Springer-Verlag, Heidelberg, 1999, pp..

[25] V. Novák, I. Perfilieva, The principles of fuzzy logic: its mathematical and computational aspects. In: Lectures on Soft Computing, Springer, Heidelberg, 2001, pp. 189-238.

[26] V. Novák, I. Perfilieva, S. Gottwald, Fuzzy Relations Equations via Basic Predicate Fuzzy Logic. In: Computational Intelligent Systems for Applied Research, World Scientific, Singapore, 2002, pp. 113-120.

[27] V. Novák, I. Perfilieva, N.G. Jaruškina, A General Methodology for Managerial Decision Making using Intelligent Techniques. In: Recent Advances in Decision Making, Springer, Berlin, 2009, pp. 103-120.

[28] V. Novák, I. Perfiljeva, Mathematical Fuzzy Logic: A Good Theory for Practice. In: 35 Years of Fuzzy Set Theory: Celebratory Volume Dedicated to the Retirement of Etienne E. Kerre, Springer, Berlin, 2010, pp. 39-55.

[29] I. Perfilieva, V. Novák, Some Consequences of Herbrand and McNaughton Theorems in Fuzzy Logic. In: Discovering World With Fuzzy Logic, Springer-Verlag, Heidelberg, 2000, pp. 271-295.

Scientific journals:

[1] R. Bělohlávek, V. Novák, Learning rule base in linguistic expert systems. Soft Computing (2002) 79-88.

[2] A. Di Nola, A. Lettieri, V. Novák, I. Perfilieva, Algebraic Analysis of Fuzzy Systems. Fuzzy Sets and Systems 158 (2007) 1-22.

[3] A. Di Nola, A. Lettieri, V. Novák, I. Perfilieva, Algebraic Analysis of Fuzzy Systems. Fuzzy Sets and Systems 158 (2007) 1-22.

[4] A. Dvořák, H. Habiballa, V. Novák, V. Pavliska, The concept of LFLC 2000 – its specificity, realization and power of applications. COMPUT IND 51 (2003) 269-280.

[5] A. Dvořák, V. Novák, Budoucnost robotů i aut: fuzzy. biz 12 (2007) 69-73.

[6] A. Dvořák, V. Novák, Budoucnost robotů i aut: fuzzy. biz 12 (2007) 69-73.

[7] A. Dvořák, V. Novák, Formal Theories and Linguistic Descriptions.. FUZZY SET SYST 143 (2004) 169-188.

[8] A. Dvořák, V. Novák, Fuzzy Logic Deduction with Crisp Observations. SOFT COMPUT 8 (2004) 256-263.

[9] A. Dvořák, V. Novák, Towards Automatic Modeling of Economic Texts. Mathware & Soft Computing 14 (2007) 217-231.

[10] A. Dvořák, V. Novák, Towards Automatic Modeling of Economic Texts. Mathware & Soft Computing 14 (2007) 217-231.

[11] A. Dvořák, V. Novák, V. Pavliska, Rules, Inferences and Robust Approximation at Work. ERCIM News 64 (2006) 31-32.

[12] M. Dyba, M. Elzekey, V. Novák, Non-commutative first-order EQ-logics. FUZZY SET SYST (2014).

[13] M. Dyba, V. Novák, EQ-logics with delta connective. Iranian Journal of Fuzzy Systems 12 (2015) 41-61.

[14] M. ElZekey, V. Novák, R. Mesiar, On good EQ-algebras. Fuzzy Sets and Systems 178 (2011) 1-23.

[15] S. Gottwald, V. Novák, An Approach Towards Consistenc Degrees of Fuzzy Theories. Journal of General Systems (2000) 499-510.

[16] F. Klawonn, V. Novák, The Relation between Inference and Interpolation in the Framework of Fuzzy Systems. Fuzzy Sets and Systems (1996) 331-354.

[17] A. Matouskova, V. Novák, J. Kulka, Psycholinguistic Research of the Meaning of Linguistic Hedges..

[18] R. Mesiar, V. Novák, Operations Fitting Triangular-Norm-Based Biresiduation. Fuzzy Sets and Systems (1999) 77-84.

[19] P. Murinová, V. Novák, A Formal Theory of Generalized Intermediate Syllogisms. FUZZY SET SYST 186 (2012) 47-80.

[20] P. Murinová, V. Novák, Analysis of generalized square of opposition with intermediate quantifiers. FUZZY SET SYST (2014) 89-113.

[21] P. Murinová, V. Novák, Omitting Types in Fuzzy Logic with Evaluated Syntax. Mathematical logic quarterly 52 (2006) 259-268.

[22] P. Murinová, V. Novák, The structure of generalized intermediate syllogisms. FUZZY SET SYST 247 (2014) 18-37.

[23] V. Novák, A Comprehensive Theory of Trichotomous Evaluative Linguistic Expressions. Fuzzy Sets and Systems 159 (2008) 2939-2969.

[24] V. Novák, A Comprehensive Theory of Trichotomous Evaluative Linguistic Expressions. Fuzzy Sets and Systems 159 (2008) 2939-2969.

[25] V. Novák, A Formal Theory of Intermediate Quantifiers. Fuzzy Sets and Systems 159 (2008) 1229-1246.

[26] V. Novák, A Formal Theory of Intermediate Quantifiers. Fuzzy Sets and Systems 159 (2008) 1229-1246.

[27] V. Novák, Antonyms and Linguistic Quantifiers in Fuzzy Logic. Fuzzy Sets and Systems (2001) 335-351.

[28] V. Novák, Are Fuzzy Sets a Reasonable Tool for Modeling Vague Phenomena?. Fuzzy Sets and Systems 156 (2005) 341-348.

[29] V. Novák, Descriptions in Full Fuzzy Type Theory. Neural Network World (2003) 559-569.

[30] V. Novák, Elements of Model Theory in Higher Order Fuzzy Logic. FUZZY SET SYST 205 (2012) 101-115.

[31] V. Novák, EQ-algebra-based Fuzzy Type Theory and Its Extensions. Logic Journal of the IGPL (2011) 512-542.

[32] V. Novák, EQ-algebra-based Fuzzy Type Theory and Its Extensions. Logic Journal of the IGPL (2011) 512-542.

[33] V. Novák, Fuzzy Control from the Point of View of Fuzzy Logic. Fuzzy Sets and Systems (1994) 159-173.

[34] V. Novák, Fuzzy Functions in Fuzzy Logic with Fuzzy Equality. Acta Mathematica et Informatica Universitatis Ostraviensis (2001) 59-66.

[35] V. Novák, Fuzzy logic in narrow and broader sense – state of the art,. Tatra Mountains (1997) 131-150.

[36] V. Novák, Fuzzy logic with countable evaluated syntax revisited. Fuzzy Sets and Systems (2007) 929-936.

[37] V. Novák, Intensional Theory of Granular Computing. Soft Computing 8 (2004) 281-290.

[38] V. Novák, Joint consistency of fuzzy theories. Mathematical Logic Quaterly 48 (2002) 563-573.

[39] V. Novák, Linguistically Oriented Fuzzy Logic Controller and Its Design. Int. J. of Approximate Reasoning (1995) 263-277.

[40] V. Novák, On functions in fuzzy logic with evaluated syntax. Neural network World (2000) 869-875.

[41] V. Novák, On fuzzy equality and approximation in fuzzy logic. Soft Computing (2004) 668-675.

[42] V. Novák, On Fuzzy Type Theory. Fuzzy Sets and Systems 149 (2005) 235-273.

[43] V. Novák, ON MODELING WITH WORDS. INT J GEN SYST 42 (2013) 21-40.

[44] V. Novák, On the Hilbert–Ackermann Theorem in Fuzzy Logic. Acta Mathematica et Informatica Universitatis Ostraviensis (1996) 57-74.

[45] V. Novák, Open Theories, Consistency and Related Results in Fuzzy Logic. Int. Journal of Approximate Reasoning (1998) 191-200.

[46] V. Novák, Paradigm, Formal Properties and Limits of Fuzzy Logic. Int. J. of General Systems (1996) 377-405.

[47] V. Novák, Reasoning about mathematical fuzzy logic and its future. FUZZY SET SYST 192 (2012) 25-44.

[48] V. Novák, Towards formal theory of soft computing. Soft Computing (1998) 4-6.

[49] V. Novák, Which logic is the real fuzzy logic?. Fuzzy Sets and Systems 157 (2006) 635-641.

[50] V. Novák, B. Debaets, EQ-algebras. Fuzzy Sets and Systems 160 (2009) 2956-2978.

[51] V. Novák, B. Debaets, EQ-algebras. Fuzzy Sets and Systems 160 (2009) 2956-2978.

[52] V. Novák, A. Dvořák, Formalization of Commonsense Reasoning in Fuzzy Logic in Broader Sense. Applied and Computational Mathematics 10 (2011) 106-121.

[53] V. Novák, H. Habiballa, P. Hurtík, M. Štěpnička, Recognition of Damaged Letters Based on Mathematical Fuzzy Logic Analysis. Journal of Applied Logic (2015) 94-104.

[54] V. Novák, P. Hájek, The Sorites paradox and fuzzy logic. International Journal of General Systems 32 (2003) 373-383.

[55] V. Novák, J. Ivánek, Opportunity for the Economic Science. Prague Economic Papers (1996) 278-281.

[56] V. Novák, J. Ivánek, VIIth IFSA World Congress on Fuzzy Logic: Opportunity for the Economic Science. Prague Economic Papers (1996) 278-281.

[57] V. Novák, S. Lehmke, Logical Structure of Fuzzy IF-THEN Rules. Fuzzy Sets and Systems 157 (2006) 2003-2029.

[58] V. Novák, I. Perfilieva, On the Semantics of Perception-Based Fuzzy Logic Deduction. International Journal of Intelligent Systems 19 (2004) 1007-1031.

[59] V. Novák, I. Perfilieva, A. Dvořák, Q. Chen, Q. Wei, P. Yan, Mining pure linguistic associations from numerical data. INT J APPROX REASON 48 (2008) 4-22.

[60] V. Novák, I. Perfilieva, A. Dvořák, Q. Chen, Q. Wei, P. Yan, Mining pure linguistic associations from numerical data. INT J APPROX REASON 48 (2008) 4-22.

[61] V. Novák, I. Perfilieva, H.T. Nguyen, V. Kreinovich, Research on advanced soft computing and its applications. Soft Computing 8 (2004) 239-246.

[62] V. Novák, M. Štěpnička, A. Dvořák, I. Perfilieva, V. Pavliska, L. Vavříčková, Analysis of Seasonal Time Series Using Fuzzy Approach. INT J GEN SYST 39 (2010) 305-328.

[63] V. Novák, A. Zorat, M. Fedrizzi, A simple procedure for pattern prerecognition based on fuzzy logic analysis. J. of Uncertainty, Fuzziness and Knowledge-Based systems (1997) 31-45.

[64] I. Perfilieva, V. Novák, System of fuzzy relation equations as a continuous model of if-then rules. Information Sciences 177 (2007) 3218-3227.

[65] I. Perfilieva, V. Novák, A. Dvořák, Fuzzy transform in the analysis of data. INT J APPROX REASON 48 (2008) 36-46.

[66] I. Perfilieva, V. Novák, A. Dvořák, Fuzzy transform in the analysis of data. INT J APPROX REASON 48 (2008) 36-46.

[67] M. Štěpnička, U. Bodenhofer, M. Daňková, V. Novák, Continuity Issues of the Implicational Interpretation of Fuzzy Rules. FUZZY SET SYST 161 (2010) 1959-1972.

Conference proceedings:

[1] R. Bělohlávek, V. Novák, Learning Linguistic Context for Linguistic Oriented Fuzzy Control. In: Proc. Int. Conference FUZZ-IEEE’97, Barcelona, 1997, pp. 1167-1168.

[2] U. Bodenhofer, M. Daňková, M. Štěpnička, V. Novák, A Plea for the Usefulness of the Deductive Interpretation of Fuzzy Rules in Engineering Applications. In: Proc. FUZZ-IEEE, London, 2007, pp. 1572-1577.

[3] A. Dvořák, H. Habiballa, V. Pavliska, V. Novák, LFLC 2000 + MATLAB/SIMULINK – SYSTÉM PRO UNIVERSÁLNÍ APLIKACE FUZZY LOGIKY. In: Proc. Inteligentní systémy v praxi, Ostrava, 2003, pp. 47-48.

[4] A. Dvořák, V. Novák, A Fuzzy Logic Model of Detective Reasoning. In: Proc. IMPU’06, Paris, 2006, pp. 1572-1579.

[5] A. Dvořák, V. Novák, Automation of Human Reasoning in Economical Analysis. In: Proc. EUSFLAT 2007, Ostrava, 2007, pp. 103-109.

[6] A. Dvořák, V. Novák, Fuzzy Logic as a Methodology for the Treatment of Vagueness. In: Proc. logica 2004, Praha, 2005, pp. 141-152.

[7] A. Dvořák, V. Novák, Inconsistencies in Linguistic Descriptions from the Point of View of Fuzzy Logic. In: Proc. Third Conf. EUSFLAT 2003, Zittau/Goerlitz, 2003, pp. 523-528.

[8] A. Dvořák, V. Novák, V. Pavliska, H. Habiballa, LFLC 2000 + MATLAB/SIMULINK – SYSTÉM PRO UNIVERSÁLNÍ APLIKACE FUZZY LOGIKY. In: Proc. Matlab, Praha, 2002, pp. 80-85.

[9] M. Dyba, V. Novák, On EQ-fuzzy logics with delta connective. In: Proc. EUSFLAT 2011, Amsterdam, 2011, pp. 156-162.

[10] S. Gottwald, V. Novák, On the Consistency of Fuzzy Theories. In: Proc. VIIth IFSA World Congress, Praha, 1997, pp. 168-171.

[11] S. Gottwald, V. Novák, I. Perfilieva, Fuzzy control and pseudo-solutions of fuzzy relation equations. In: Zittau, Germany, 2002, pp. 12-18.

[12] S. Gottwald, V. Novák, I. Perfilieva, Fuzzy Control and t-norm-Based Fuzzy Logic. Some Recent Results. In: Proc. IPMU 2002, Annecy, 2002, pp. 1087-1094.

[13] H. Habiballa, V. Novák, Fuzzy General Resolution. In: Proc. Aplimat 2002, Bratislava, 2002, pp. 199-206.

[14] H. Habiballa, V. Novák, Character recognition through fuzzy logic analysis – Algorithms and Implementation. In: Proc. APLIMAT, Bratislava, 2013, pp. 541-550.

[15] H. Habiballa, V. Novák, A. Dvořák, V. Pavliska, Využití softwarového balíku LFLC 2000. In: Proc. 2nd International Conference Aplimat 2003, Bratislava, 2003, pp. 355-358.

[16] H. Habiballa, V. Novák, M. Dyba, J. SCHENK, EQ-ALGEBRAS AUTOMATED GENERATION BASED ON GENETIC ALGORITHMS. In: Proc. MENDEL, Brno, 2014, pp. 341-346.

[17] H. Habiballa, V. Novák, M. Dyba, J. SCHENK, EQ-ALGEBRAS AUTOMATED GENERATION BASED ON GENETIC ALGORITHMS. In: Proc. MENDEL, Brno, 2014, pp. 341-346.

[18] M. Holčapek, I. Perfiljeva, V. Novák, Discrete Representation of Stationary Random Processes Using Fuzzy Transform. In: Proc. 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Plzeň, 2013, pp. 215-222.

[19] M. Holčapek, I. Perfiljeva, V. Novák, Discrete Representation of Stationary Random Processes Using Fuzzy Transform. In: Proc. 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Plzeň, 2013, pp. 215-222.

[20] R. Mesiar, V. Novák, On Fitting Operations. In: Proc. VIIth IFSA World Congress ’97, Praha, 1997, pp. 286-290.

[21] P. Murinová, V. Novák, The analysis of the generalized square of opposition-extension. In: Proc. EUSFLAT 2013, 2013, pp. 252-259.

[22] P. Murinová, V. Novák, The analysis of the generalized square of opposition-extension. In: Proc. EUSFLAT 2013, 2013, pp. 252-259.

[23] V. Novák, A Formal Integrated Theory of Approximate Reasoning. In: Proc. Fifth International Fuzzy Systems Association World Congress ’93, Seoul, Korea, 1993, pp. 399-402.

[24] V. Novák, A General Methodology for Modeling with Words. In: Proc. NAFIPS 2009, Cincinnati, Ohio, 2009, pp. 289-294.

[25] V. Novák, A General Methodology for Modeling with Words. In: Proc. NAFIPS 2009, Cincinnati, Ohio, 2009, pp. 289-294.

[26] V. Novák, Approximation Abilities of Perception-based Logical Deduction. In: Proc. Third Conf. EUSFLAT 2003, Zittau/Goerlitz, 2003, pp. 630-635.

[27] V. Novák, Design and Tuning of Linguistic Descriptions for LFLC. In: Proc. CIFT ’93 – Current Issues in Fuzzy Technologies, Trento, 1993, pp. 26-29.

[28] V. Novák, EQ-algebras in progress. In: Proc. World Congress IFSA 2007, Berlin, 2007, pp. 876-884.

[29] V. Novák, Evaluating Linguistic Expressions and Their Role in the Design of the Fuzzy Control Strategy. In: Proc. Second Int. Symposium on Fuzzy logic and Applications ISFL’97, Canada-Switzerland, 1997, pp. 89-94.

[30] V. Novák, From Fuzzy Type Theory to Fuzzy Intensional Logic. In: Proc. Third Conf. EUSFLAT 2003, Zittau/Goerlitz, 2003, pp. 619-623.

[31] V. Novák, Fuzzy Algebras as Models of Fuzzy Theories. In: Proc. Joint EUSFLAT-ESTYLF’99 Conference, Palma de Mallorca, 1999, pp. 43-46.

[32] V. Novák, Fuzzy Logic in Broader Sense: A Useful Tool for AI. In: Proc. 9th Workshop on Uncertainty Processing, Prague, 2012, pp. 163-169.

[33] V. Novák, Fuzzy Logic in Broader Sense: A Useful Tool for AI. In: Proc. 9th Workshop on Uncertainty Processing, Prague, 2012, pp. 163-169.

[34] V. Novák, Fuzzy Logic Theory of Evaluating Expressions and Comparative Quantifiers. In: Proc. IMPU’06, Paris, 2006, pp. 1572-1579.

[35] V. Novák, Fuzzy logic with countable evaluated syntax. In: Proc. Eleventh International Fuzzy Systems Association World Congress, Beijing, 2005, pp. 1264-1269.

[36] V. Novák, Fuzzy Relation Equations with Words. In: Proc. Meeting on State of the Art Assessment and New Directions for Research, Heidelberg, 2004, pp. 167-185.

[37] V. Novák, Fuzzy Type Theory As Higher Order Fuzzy Logic. In: Proc. The Sixth International Conference on Intelligent Technologies, Bankgok, 2005, pp. 21-26.

[38] V. Novák, Fuzzy Type Theory, Descriptions, and Partial Functions. In: Proc. EUSLFAT 2011, Amsterdam, 2011, pp. 189-195.

[39] V. Novák, Genuine Linguistic Fuzzy Logic Control: Powerful and Successful Control Method. In: Proc. IPMU 2010, Berlin, 2010, pp. 634-644.

[40] V. Novák, Granularity via Properties: The Logical Approach. In: Proc. Int. Conf. on Fuzzy Logic and Technology EUSFLAT’2001, Lecester, Anglie, 2001, pp. 372-374.

[41] V. Novák, Higher Order Fuzzy Logic. In: Proc. ODAM2011, Olomouc, 2011, pp. 50-50.

[42] V. Novák, Indeterminacy, Linguistic Semantics and Fuzzy Logic. In: Proc. Conf. Intelligent Systems: A Semiotic Perspective, 1996, pp. 95-100.

[43] V. Novák, Is Crucial Role in Soft Computing Played by Words?. In: Proc. Int. Panel Conference on Soft and Intelligent Computing, Budapest, 1996, pp. 223-228.

[44] V. Novák, Logical analysis of Max–Min rule of inference. In: Proc. First European Congress on Intelligent Techniques and Soft Computing EUFIT’93, Aachen, 1993, pp. 1311-1317.

[45] V. Novák, Logical Aspect in Fuzzy Control. In: Proc. Int. Conference MEPP’93, Finland, 1993, pp. 61-69.

[46] V. Novák, Mathematical Fuzzy Logic : Today and Tomorrow. In: Proc. International Conference on Rough Sets, Fuzzy Sets and Soft Computing, New Delhi, 2011, pp. 108-118.

[47] V. Novák, Mining Information from Time Series using Fuzzy Natural Logic. In: Proc. 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Jindřichův Hradec, 2013, pp. 43-50.

[48] V. Novák, Mining Information from Time Series using Fuzzy Natural Logic. In: Proc. 16th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Jindřichův Hradec, 2013, pp. 43-50.

[49] V. Novák, Modeling with Words and Its Applications. In: Proc. FLINS 2010, New Jersey, 2010, pp. 17-28.

[50] V. Novák, Models and submodels of fuzzy theories. In: Proc. IPMU 2002, Annecy, 2002, pp. 385-390.

[51] V. Novák, On Virtues of Many-Valued (Fuzzy) Type Theories. In: Proc. Quantitative Logic and Soft Computing 2010, Berlin, 2010, pp. 53-69.

[52] V. Novák, Open Theories in Fuzzy Logic in Narrow Sense. In: Proc. Sixth Int. Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems IPMU’96, Granada, 1996, pp. 1003-1007.

[53] V. Novák, Perception-Based Logical Deduction. In: Proc. Fuzzy Days, Berlin, 2005, pp. 237-250.

[54] V. Novák, Perception-based Logical Deduction as Alternative Approximate Reasoning Method. In: Proc. FUZZ-IEEE2005 The international Conference on FUZZY Systems, Reno, Nevada,, 2005, pp. 1032-1037.

[55] V. Novák, Principal Fuzzy Type Theories for Fuzzy Logic in Broader Sense. In: Proc. Information Proseccisng and Management of Unicertainty in Knowledge-Based Systems IPMU 08, Malaga, 2008, pp. 1045-1052.

[56] V. Novák, Remarks to Model Theory in Higher-Order Fuzzy Logic. In: Proc. FLINS2012, Singapore, 2012, pp. 621-626.

[57] V. Novák, Remarks to Model Theory in Higher-Order Fuzzy Logic. In: Proc. FLINS2012, Singapore, 2012, pp. 621-626.

[58] V. Novák, Soft Computing Methods in Managerial Decision Making. In: Proc. 7th Czech-Japan Seminar on Data Analysis and Decision Making Under Uncertainty, Hyogo, 2004, pp. 63-68.

[59] V. Novák, Towards Fuzzy Type Theory. In: Proc. Int. Seminar on Multiple-Valued Logic ISMVL 2003, Tokyo, 2003, pp. 65-70.

[60] V. Novák, Transparent Model of Linguistic Trichotomy and Hedges. In: Proc. Fourth European Congress on Intelligent Tehcniques and Soft Computing, Aachen, 1996, pp. 35-39.

[61] V. Novák, What is ‘The’ fuzzy logic. In: Proc. 8th Czech-Japan Seminar on data Analysis and Decision Making under Uncertainty, Praha, 2005, pp. 82-90.

[62] V. Novák, M. Dyba, Non-commutative EQ-logics and their extensions. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 1422-1427.

[63] V. Novák, M. Dyba, Non-commutative EQ-logics and their extensions. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 1422-1427.

[64] V. Novák, H. Habiballa, Recognition of Damaged Letters Based on Mathematical Fuzzy Logic Analysis. In: Proc. International Joint Conference CISIS?12-ICEUTE´12-SOCO´12 Special Sessions, Berlin, 2012, pp. 497-506.

[65] V. Novák, H. Habiballa, Recognition of Damaged Letters Based on Mathematical Fuzzy Logic Analysis. In: Proc. International Joint Conference CISIS?12-ICEUTE´12-SOCO´12 Special Sessions, Berlin, 2012, pp. 497-506.

[66] V. Novák, P. Hurtík, H. Habiballa, Recognition of heavily distorted characters on metal. In: Proc. IFSA World Congress, 2013, pp. 733-738.

[67] V. Novák, P. Murinová, Intermediate Quantifiers, Natural Language and Human Reasoning. In: Proc. Third International Conference on Quantitative Logic and Soft Computing, New Jersey, 2012, pp. 684-692.

[68] V. Novák, V. Pavliska, I. Perfiljeva, M. Štěpnička, F-transform and Fuzzy Natural logic in Time Series Analysis. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 40-47.

[69] V. Novák, V. Pavliska, I. Perfiljeva, M. Štěpnička, F-transform and Fuzzy Natural logic in Time Series Analysis. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 40-47.

[70] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World Conference on Soft Computing, Baku, 2012, pp. 593-599.

[71] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World Conference on Soft Computing, Baku, 2012, pp. 593-599.

[72] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and Its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World congress on soft computing, Switzerland, 2014, pp. 429-442.

[73] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and Its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World congress on soft computing, Switzerland, 2014, pp. 429-442.

[74] V. Novák, V. Pavliska, R. Valášek, Specialized Software for Fuzzy Natural Logic and Fuzzy Transform Applications. In: Proc. IEEE International Conference on Fuzzy Systems, Beijing, China, 2014, pp. 2337-2344.

[75] V. Novák, V. Pavliska, R. Valášek, Specialized Software for Fuzzy Natural Logic and Fuzzy Transform Applications. In: Proc. IEEE International Conference on Fuzzy Systems, Beijing, China, 2014, pp. 2337-2344.

[76] V. Novák, I. Perfilieva, Mjetody mjagkih vyčisljenij v prinjatii upravljenčjeskih rješjenij. In: Uljanovsk, 2008, pp. 88-95.

[77] V. Novák, I. Perfilieva, On Logical and Algebraic Foundations of Approximate Reasoning. In: Proc. International Conference FUZZ-IEEE ’97, Barcelona, 1997, pp. 693-698.

[78] V. Novák, I. Perfilieva, On Model Theory in Fuzzy Logic in Broader Sense. In: Proc. Fifth European Congress on Intelligent Techniques and Soft Computing EUFIT’97, Aachen, 1997, pp. 142-147.

[79] V. Novák, I. Perfilieva, Prinjatije rješjenij mjetodami mjakkih vyčisljenij. In: Proc. Nječjetkije sistjemy i mjagkije vyčisljenija, Uljanovsk, 2008, pp. 22-39.

[80] V. Novák, I. Perfilieva, Remark to the Consistency of Fuzzy Theories. In: Proc. Eighth Int. Fuzzy Systems Association World Congress IFSA’99, Taipei, 1999, pp. 1052-1056.

[81] V. Novák, I. Perfilieva, T.V. Afanas’jeva, Integral’nyj metod analiza nechetkih vremennyh rjadov i funkcional’nogo modelirovanija v zadachah prinjatija reshenij. In: Proc. 11th All-Russian Artificial Intelligence Conference, Dubna, Russia, 2008, pp. 90-99.

[82] V. Novák, I. Perfilieva, A. Dvořák, Mining Pure Linguistic Associations on the Basis of Perceptions in Numerical Data. In: Proc. NAFIPS’06, Montreal, 2006, pp. 639-644.

[83] V. Novák, I. Perfilieva, A. Dvořák, Mining Pure Linguistic Associations on the Basis of Perceptions in Numerical Data. In: Proc. NAFIPS’06, Montreal, 2006, pp. 639-644.

[84] V. Novák, I. Perfilieva, A. Dvořák, Q. Chen, Q. Wei, P. Yan, MINING LINGUISTIC ASSOCIATIONS FROM NUMERICAL DATABASES. In: Proc. Eleventh International Fuzzy Systems Association World Congress, Beijing, 2005, pp. 546-551.

[85] V. Novák, I. Perfilieva, S. Gottwald, Fuzzy Control and Pseudo-Solutions of Fuzzy Relation Equations. In: IPM, Hochschule Zittau/Goerlitz, 2003, pp. 217-225.

[86] V. Novák, I. Perfilieva, N.G. Jaruškina, T.V. Afanas’jeva, Intjegral’nyj mjetod analiza nječjetkih vrjemjennyh rjadov i funkcional’nogo modjelirovanija v zadačah prinjatija rješjenij. In: Ulyanovsk, 2008, pp. 96-101.

[87] V. Novák, I. Perfiljeva, M. Holčapek, Analysis of stationary processes using fuzzy transform. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 714-721.

[88] V. Novák, I. Perfiljeva, M. Holčapek, Analysis of stationary processes using fuzzy transform. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 714-721.

[89] V. Novák, R. Smolíková, On Learning of Linguistic Descriptions from Data in LFLC. In: Proc. Int. Panel Conference on Soft and Intelligent Computing, Budapest, 1996, pp. 229-234.

[90] V. Novák, M. Štěpnička, J. Kupka, Linguistic descriptions: their structure and applications. In: Proc. 10th International Conference on Flexible Query Answering Systems, Berlin Heidelberg, 2013, pp. 209-220.

[91] V. Novák, M. Štěpnička, J. Kupka, Linguistic descriptions: their structure and applications. In: Proc. 10th International Conference on Flexible Query Answering Systems, Berlin Heidelberg, 2013, pp. 209-220.

[92] V. Novák, M. Štěpnička, I. Perfilieva, V. Pavliska, Analysis of periodical time series using soft computing methods. In: Proc. FLINS 2008, Singapore, 2008, pp. 55-60.

[93] I. Perfilieva, V. Novák, A. Dvořák, How to Mine Linguistic Associations using Fuzzy Transform. In: Proc. NAFIPS’06, Montreal, 2006, pp. 645-648.

[94] I. Perfilieva, V. Novák, V. Kanaikin, Approximation Theorems in Fuzzy Logic for Soft Computing. In: Proc. World Automation Congress, Albuquerque, 2000, pp..

[95] I. Perfilieva, V. Novák, V. Pavliska, A. Dvořák, M. Štěpnička, Analysis and Prediction of Time Series Using Fuzzy Transform. In: Proc. 2008 IEEE World Congress on Computational Intelligence/ FUZZ-IEEE 2008, Hong Kong, 2008, pp. 3876-3880.

[96] I. Perfilieva, V. Novák, V. Pavliska, A. Dvořák, M. Štěpnička, Prediction of Time Series by Soft Computing Methods. In: Proc. 10th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Praha, 2007, pp. 119-129.

[97] I. Perfiljeva, V. Novák, A. Romanov, N. Yarushkina, Time series grouping and trend forecast using F1-transform and fuzzy natural logic. In: Proc. 11th International FLINS Conference, New Jersey, 2014, pp. 143-148.

[98] P. Přibyl, V. Novák, Multiparameter-Optimized Ventilation of City Tunnel. In: Proc. 2nd Int. Conf. Tunnel Control and Communication, Amsterdam, 1997, pp..

[99] M. Štěpnička, V. Pavliska, V. Novák, I. Perfilieva, L. Vavříčková, I. TOMANOVÁ, Time Series Analysis and Prediction Based on Fuzzy Rules and the Fuzzy Transform. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 483-488.

[100] M. Štěpnička, V. Pavliska, V. Novák, I. Perfilieva, L. Vavříčková, I. TOMANOVÁ, Time Series Analysis and Prediction Based on Fuzzy Rules and the Fuzzy Transform. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 483-488.

About

Personal data:

  • Date of birth: June 25, 1979.
  • Married (with Lenka), two children(Adam and Nela).

Position:

  • Researcher at IRAFM.

Education:

  • Assoc. Prof. degree (Doc.) in Applied Mathematics at University of Ostrava, Faculty of Sciences, 2012.
  • PhD degree in Applied Mathematics – Fuzzy Modeling at University of Ostrava, Faculty of Sciences, 2008.
  • Master degree (Mgr.) in Applied Mathematics at University of Ostrava, Faculty of Sciences, 2002.

Contact:

  • 30. dubna 22, 701 03 Ostrava, Czech Republic
  • Office C605
  • Tel: +420-59-709 1403 (office)
  • martin.stepnicka AT osu.cz

Edited volumes:

1. M. Štěpnička, V. Novák, U. Bodenhofer (eds.) New Dimensions in Fuzzy Logic and Related Technologies Vol. 1, Proceedings of 5th EUSFLAT conference, University of Ostrava, Ostrava, 2007.

2. M. Štěpnička, V. Novák, U. Bodenhofer (eds.) New Dimensions in Fuzzy Logic and Related Technologies Vol. 2, Proceedings of 5th EUSFLAT conference, University of Ostrava, Ostrava, 2007.

Invited plenary talks:

  • FSTA 2012, Liptovsky Jan, Slovakia, February 2012.
  • East-West Zittau Fuzzy Colloquium 2012, Zittau, Germany, September 2012.

Topics of interest:

  • Soft computing
  • Fuzzy approximation
  • Fuzzy control

Hobbies:

  • Volleyball, squash, skiing and some other sports
  • Travelling

Publications

Chapters in monographs:

[1] P. Drozd, M. Štěpnička, A. Dolný, P. Völkl, Fuzzy modeling – a prospective tool for conservation biology. In: Environmental changes and biological assessment III. Scripta Facultatis Rerum Naturalium Universitatis Ostraviensis Nr. 163, Ostravská univerzita v Ostravě, Ostrava, 2006, pp. 7-14.

Scientific journals:

[1] M. Burda, P. Rusnok, M. Štěpnička, Mining Linguistic Associations for Emergent Flood Prediction Adjustment. Advances in Fuzzy Systems 2013 (2013) 1-10.

[2] M. Daňková, M. Štěpnička, Fuzzy Transform as an Additive Normal Form. FUZZY SET SYST 157 (2006) 1024-1035.

[3] A. Dvořák, M. Štěpnička, L. Štěpničková, On Redundancies in Systems of Fuzzy/Linguistic IF-THEN Rules under Perception-based Logical Deduction Inference. FUZZY SET SYST (2014).

[4] M. Holčapek, M. Štěpnička, MI-algebras: a new framework for arithmetics of (extensional) fuzzy numbers. FUZZY SET SYST (2014) 102-131.

[5] V. Novák, H. Habiballa, P. Hurtík, M. Štěpnička, Recognition of Damaged Letters Based on Mathematical Fuzzy Logic Analysis. Journal of Applied Logic (2015) 94-104.

[6] V. Novák, M. Štěpnička, A. Dvořák, I. Perfilieva, V. Pavliska, L. Vavříčková, Analysis of Seasonal Time Series Using Fuzzy Approach. INT J GEN SYST 39 (2010) 305-328.

[7] M. Štěpnička, Fuzzy Transformation and Its Applications in A/D Converter. Journal of Electrical Engineering 12 (2003) 72-75.

[8] M. Štěpnička, Inference Mechanisms, Systems of Fuzzy Relational Equations and the Additive Interpretations of Rule Bases. Journal of Electrical Engineering 12 (2006) 78-81.

[9] M. Štěpnička, U. Bodenhofer, M. Daňková, V. Novák, Continuity Issues of the Implicational Interpretation of Fuzzy Rules. FUZZY SET SYST 161 (2010) 1959-1972.

[10] M. Štěpnička, P. Cortez, J.P. Donate, L. Štěpničková, Forecasting seasonal time series with computational intelligence: on recent methods and the potential of their combinations. EXPERT SYST APPL 40 (2013) 1981-1992.

[11] M. Štěpnička, M. Daňková, On Fuzzy Normal Forms. Journal of Electrical Engineering 7/s (2007) 63-66.

[12] M. Štěpnička, M. Daňková, On Fuzzy Normal Forms. Journal of Electrical Engineering 7/s (2007) 63-66.

[13] M. Štěpnička, B. De Baets, Implication-based models of monotone fuzzy rule bases. FUZZY SET SYST 232 (2013) 134-155.

[14] M. Štěpnička, B. De Baets, Interpolativity of at-least and at-most models of monotone single-input/single-output fuzzy rule bases. INFORM SCIENCES 234 (2013) 16-28.

[15] M. Štěpnička, B. De Baets, L. NOSKOVÁ, Arithmetic Fuzzy Models. IEEE T FUZZY SYST 18 (2010) 1058-1069.

[16] M. Štěpnička, A. Dvořák, V. Pavliska, L. Vavříčková, A linguistic approach to time series modeling with help of the F-transform. FUZZY SET SYST 180 (2011) 164-184.

[17] M. Štěpnička, B. Jayaram, On the suitability of the Bandler-Kohout subproduct as an inference mechanism. IEEE T FUZZY SYST 18 (2010) 285-298.

[18] M. Štěpnička, O. Polakovič, A neural network approach to the fuzzy transform. FUZZY SET SYST 160 (2009) 1037-1047.

[19] M. Štěpnička, R. Valášek, Dynamic Robot Control Based on Fuzzy Approximation. Journal of Electrical Engineering 12 (2005) 17-20.

[20] M. Štěpnička, R. Valášek, Fuzzy Transforms and Their Application to Wave Equation. Journal of Electrical Engineering 12 (2004) 7-10.

[21] T. Vetterlein, M. Štěpnička, Completing Fuzzy If-then Rule Bases by Means of Smoothing Splines. INT J UNCERTAIN FUZZ 4 (2006) 235-244.

Conference proceedings:

[1] U. Bodenhofer, M. Daňková, M. Štěpnička, V. Novák, A Plea for the Usefulness of the Deductive Interpretation of Fuzzy Rules in Engineering Applications. In: Proc. FUZZ-IEEE, London, 2007, pp. 1572-1577.

[2] M. Burda, M. Štěpnička, L. Štěpničková, Fuzzy Rule-Based Ensemble for Time Series Prediction: Progresses with Associations Mining. In: Proc. Soft Methods in Probability and Statistics, Heidelberg, 2015, pp. 261-271.

[3] M. Daňková, M. Štěpnička, Approximation properties of inverse fuzzy transforms over a residuated lattice. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 693-696.

[4] M. Daňková, M. Štěpnička, Genetic algorithms in fuzzy approximation. In: Proc. Joint EUSFLAT – LFA 2005, Barcelona, 2005, pp. 651-656.

[5] M. Daňková, M. Štěpnička, B. De Baets, Grades of monotonicity of fuzzy relations and their application to fuzzy rule bases. In: Proc. IEEE Symposium on Foundations of Computational Intelligence, Paris, 2011, pp. 37-44.

[6] M. Daňková, M. Štěpnička, B. De Baets, Grades of monotonicity of fuzzy relations and their application to fuzzy rule bases. In: Proc. IEEE Symposium on Foundations of Computational Intelligence, Paris, 2011, pp. 37-44.

[7] M. Daňková, M. Štěpnička, B. De Baets, Monotonicity of fuzzy rule bases: On differences between graded and non-graded approaches. In: Proc. EUSFLAT 2011, 2011, pp. 487-492.

[8] A. Dvořák, M. Štěpnička, L. Vavříčková, Redundancies in systems of fuzzy/linguistic IF-THEN rules. In: Proc. EUSFLAT 2011, 2011, pp. 1022-1029.

[9] M. Holčapek, M. Štěpnička, Arithmetics of Extensional Fuzzy Numbers — Part II: Algebraic framework. In: Proc. FUZZ-IEEE, 2012, pp. 1525-1532.

[10] M. Holčapek, M. Štěpnička, Arithmetics of Extensional Fuzzy Numbers — Part II: Algebraic framework. In: Proc. FUZZ-IEEE, 2012, pp. 1525-1532.

[11] V. Novák, V. Pavliska, I. Perfiljeva, M. Štěpnička, F-transform and Fuzzy Natural logic in Time Series Analysis. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 40-47.

[12] V. Novák, V. Pavliska, I. Perfiljeva, M. Štěpnička, F-transform and Fuzzy Natural logic in Time Series Analysis. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 40-47.

[13] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World Conference on Soft Computing, Baku, 2012, pp. 593-599.

[14] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World Conference on Soft Computing, Baku, 2012, pp. 593-599.

[15] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and Its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World congress on soft computing, Switzerland, 2014, pp. 429-442.

[16] V. Novák, V. Pavliska, M. Štěpnička, L. Štěpničková, Time Series Trend Extraction and Its Linguistic Evaluation Using F-Transform and Fuzzy Natural Logic. In: Proc. 2nd World congress on soft computing, Switzerland, 2014, pp. 429-442.

[17] V. Novák, M. Štěpnička, J. Kupka, Linguistic descriptions: their structure and applications. In: Proc. 10th International Conference on Flexible Query Answering Systems, Berlin Heidelberg, 2013, pp. 209-220.

[18] V. Novák, M. Štěpnička, J. Kupka, Linguistic descriptions: their structure and applications. In: Proc. 10th International Conference on Flexible Query Answering Systems, Berlin Heidelberg, 2013, pp. 209-220.

[19] V. Novák, M. Štěpnička, I. Perfilieva, V. Pavliska, Analysis of periodical time series using soft computing methods. In: Proc. FLINS 2008, Singapore, 2008, pp. 55-60.

[20] I. Perfilieva, V. Novák, V. Pavliska, A. Dvořák, M. Štěpnička, Analysis and Prediction of Time Series Using Fuzzy Transform. In: Proc. 2008 IEEE World Congress on Computational Intelligence/ FUZZ-IEEE 2008, Hong Kong, 2008, pp. 3876-3880.

[21] I. Perfilieva, V. Novák, V. Pavliska, A. Dvořák, M. Štěpnička, Prediction of Time Series by Soft Computing Methods. In: Proc. 10th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty, Praha, 2007, pp. 119-129.

[22] D. Sikora, M. Štěpnička, L. Vavříčková, On the Potential of Fuzzy Rule-Based Ensemble Forecasting. In: Proc. 7th International Conference on Soft Computing Models in Industrial and Environmental Applications, Berlín, 2013, pp. 487-496.

[23] M. Štěpnička, Fuzzy Transform for Practical Problems. In: Proc. Inteligentní systémy pro praxi, Ostrava, 2007, pp. 39-40.

[24] M. Štěpnička, On Fundamental Mathematical Properties of Fuzzy Inference Systems. In: Proc. 13th Czech-Japan seminar on data analysis and decision making in service sciences, Otaru, Japan, 2010, pp. 7-12.

[25] M. Štěpnička, On Mutual Compatibility of Mathematical Properties of Fuzzy Inference Systems. In: Proc. World Congress of International Fuzzy Systems Association 2011 and Asia Fuzzy Systems Society International Conference 2011, 2011, pp. 2131-2136.

[26] M. Štěpnička, Towards fuzzy interpolation with uv{at least — at most} fuzzy rule bases. In: Proc. FLINS 2010, Singapore, 2010, pp. 222-228.

[27] M. Štěpnička, B. De Baets, Monotonicity of implicative fuzzy models. In: Proc. IEEE World Congress on Computational Intelligence, Barcelona, 2010, pp. 2334-2340.

[28] M. Štěpnička, B. De Baets, M. Daňková, Monotonicity of implicative fuzzy models. In: Proc. International Conference on Fuzzy Set Theory and Applications – FSTA, Liptovský Ján, 2008, pp. 121-122.

[29] M. Štěpnička, B. De Baets, L. Nosková, On Additive and Multiplicative Fuzzy Models. In: Proc. 5th EUSFLAT, Ostrava, 2007, pp. 95-102.

[30] M. Štěpnička, J.P. Donate, P. Cortez, L. Vavříčková, G. Gutierrez, Forecasting seasonal time series with computational intelligence: contribution of a combination of distinct methods.. In: Proc. EUSFLAT 2011, 2011, pp. 464-471.

[31] M. Štěpnička, A. Dvořák, V. Pavliska, L. Vavříčková, Linguistic approach to time series analysis and forecasts. In: Proc. IEEE World Congress on Computational Intelligence, Barcelona, 2010, pp. 2149-2157.

[32] M. Štěpnička, B. Jayaram, On the computational aspects of the BK-Subproduct inference mechanism. In: Proc. IEEE International Conference on Fuzzy Systems, Jeju, Jižní Korea, 2009, pp. 1181-1186.

[33] M. Štěpnička, B. Jayaram, On the computational aspects of the BK-Subproduct inference mechanism. In: Proc. IEEE International Conference on Fuzzy Systems, Jeju, Jižní Korea, 2009, pp. 1181-1186.

[34] M. Štěpnička, B. Jayaram, The Bandler-Kohout Subproduct as a Suitable Inference Mechanism. In: Proc. IFSA/EUSFLAT’09, 2009, pp. 432-437.

[35] M. Štěpnička, B. Jayaram, The Bandler-Kohout Subproduct as a Suitable Inference Mechanism. In: Proc. IFSA/EUSFLAT’09, 2009, pp. 432-437.

[36] M. Štěpnička, S. Lehmke, Approximation of Fuzzy Functions by Extended Fuzzy Transforms. In: Proc. Fuzzy Days, Berlin, Heidelberg, New York, 2005, pp. 187-195.

[37] M. Štěpnička, L. Nosková, Systems of Fuzzy Relation Equations: New Solvability Criteria Based on the Orthogonality Condition. In: Proc. Czech-Japan Seminar on Data Analysis & Decision Making under Uncertainty – Ninth Meeting, Japonsko, 2006, pp. 352-356.

[38] M. Štěpnička, V. Pavliska, V. Novák, I. Perfilieva, L. Vavříčková, I. TOMANOVÁ, Time Series Analysis and Prediction Based on Fuzzy Rules and the Fuzzy Transform. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 483-488.

[39] M. Štěpnička, V. Pavliska, V. Novák, I. Perfilieva, L. Vavříčková, I. TOMANOVÁ, Time Series Analysis and Prediction Based on Fuzzy Rules and the Fuzzy Transform. In: Proc. IFSA/EUSFLAT’09, Lisabon, 2009, pp. 483-488.

[40] M. Štěpnička, O. Polakovič, A neural network approach to the fuzzy transform. In: Proc. 8th International Conference on Fuzzy Set Theory an Applications FSTA’06, Liptovský Mikuláš, Slovensko, 2006, pp. 101-102.

[41] M. Štěpnička, O. Polakovič, A neural network approach to the fuzzy transform. In: Proc. 8th International Conference on Fuzzy Set Theory an Applications FSTA’06, Liptovský Mikuláš, Slovensko, 2006, pp. 101-102.

[42] M. Štěpnička, O. Polakovič, Fuzzy Transform from a Neural Network Point of View. In: Proc. IPMU 2006 (IInformation Processing and Management of Uncertainty in Knowledge-based Systems), Paris, 2006, pp. 1860-1867.

[43] M. Štěpnička, O. Polakovič, Fuzzy Transform from a Neural Network Point of View. In: Proc. IPMU 2006 (IInformation Processing and Management of Uncertainty in Knowledge-based Systems), Paris, 2006, pp. 1860-1867.

[44] M. Štěpnička, R. Valášek, Approximation Based Fuzzy Control. In: Proc. 8th Czech-Japan Seminar on data Analysis and Decision Making under Uncertainty, Praha, 2005, pp. 131-139.

[45] M. Štěpnička, R. Valášek, Fuzzy Transforms and Their Application to Heat Flow Equation. In: Proc. FLLL/SCCH Master and PhD Seminar, Hagenberg, Rakousko, 2004, pp. 51-56.

[46] M. Štěpnička, R. Valášek, Fuzzy Transforms for Functions with Two Variables. In: Proc. 6th Czech-Japan Seminar on Data Analysis and Decision Making under Uncertainty 2003, Ostrava, 2003, pp. 96-102.

[47] M. Štěpnička, R. Valášek, Generating a Fuzzy Rule Base with an Additive Interpretation. In: Proc. 16th IFAC World Congress, Praha, 2006, pp. 233-238.

[48] M. Štěpnička, R. Valášek, Generating a Fuzzy Rule Base with an Additive Interpretation. In: Proc. 16th IFAC World Congress, Praha, 2006, pp. 233-238.

[49] M. Štěpnička, R. Valášek, Numerical Solution of Partial Differential Equations with Help of Fuzzy Transform. In: Proc. FUZZ-IEEE2005 The international Conference on FUZZY Systems, Reno, Nevada, 2005, pp. 1104-1109.

[50] L. Štěpničková, M. Štěpnička, D. Sikora, Fuzzy rule-based ensemble with use of linguistic associations mining for time series prediction. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 408-415.

[51] L. Štěpničková, M. Štěpnička, D. Sikora, Fuzzy rule-based ensemble with use of linguistic associations mining for time series prediction. In: Proc. European Society for Fuzzy Logic and Technology, 2013, pp. 408-415.

About

Contact:

    • 30. dubna 22, 701 03 Ostrava, Czech Republic
    • Office C708
    • libor.behounek AT osu.cz
    • Personal web page

Position:

    • Junior researcher (postdoctoral fellow) at IRAFM
    • Researcher (part-time) at Institute of Computer Science, Academy of Sciences of the Czech Republic

Research interests:

    • Mathematical fuzzy logic
    • Logic-based fuzzy mathematics

Education:

    • PhD in Logic from Charles University in Prague, Faculty of Philosophy, 2009
    • Master degree (Mgr.) in Logic from Charles University in Prague, Faculty of Philosophy, 2002

About

Contact:

  • Office C702, 30. dubna 22, 701 03 Ostrava, Czech Republic
  • Tel: +420-59-709 1417 (office)
  • jan.boronski AT osu.cz
  • Personal web page

Education:

  • Ph.D. in Mathematics, Auburn University, 2010, Advisor: Krystyna Kuperberg
  • M.Sc. in Mathematics, University of Silesia in Katowice, Poland, 2005

Research interest:

  • Dynamical Systems
  • Continuum Theory
  • Topology & Geometry