We have developed original concept of fuzzy control. Our idea goes back to the roots of fuzzy control: The process is a black box; we know, how to control it but the process itself is not known to us. It may also happen that mathematical description of the process is too complicated to be solved,… Read More »
1. Introduction One of methods of data mining which are under development in our institute is mining of linguistic associations from numerical data [3],[4]. Data mining is regarded as a non-trivial process of identifying valid, novel, potentially useful, and ultimately understandable knowledge in large scale data-sets [1]. Particularly interesting are associations that reflect relationships among… Read More »
Linguistic fuzzy IF-THEN make it possible to distinguish sufficiently subtly and, at the same time, aptly, various degrees of fulfilling of the respective criteria, their various importance and, moreover, it may also overcome possible discrepancies. Degrees of importance are naturally included in the linguistic characterization and so, the usual problem of assigning weights to the… Read More »
A new methodology of forecasting time series has been proposed. It is based on combination of two soft computing techniques: fuzzy transform and perception-based logical deduction (PbLD). The technique of fuzzy transforms has been introduced in [6] and then elaborated, in [4], [5]. The second technique based on logical deductions is presented in [2], [3].… Read More »
In the practise the relation that we are going to approximate respresents an “ideal situation“, which is unreachable due to our limited expressing power (i.e. constrained vocabulary given by interpretability, incorporated vagueness, display resolution, computational precision etc.). Therefore, we admit some imprecision or an error of expressing the given situation to compensate it by readibility… Read More »
Introduction In classical mathematics, various kinds of transforms (Fourier, Laplace, intergral, wawelet) are used as powerful methods for construction of approximation models and their further utilization. The main idea of these transforms consists in transforming the original model into a special space where the computation is simpler. The transform back to the original space produces… Read More »
Introduction In classical mathematics, various kinds of transforms (Fourier, Laplace, intergral, wawelet) are used as powerful methods for construction of approximation models and their further utilization. The main idea of these transforms consists in transforming the original model into a special space where the computation is simpler. The transform back to the original space produces… Read More »