Fuzzy set theoretical approach to numerous problems of applied mathematics and, especially, fuzzy logical analysis of those problems become frequent in the modern mathematical modelling of the real world. It is desirable to offer the mathematically oriented reader a summary of the background of the principles of fuzzy logic in a lucid and compact form. The referred book aims to offer such summa...

The functional reasoning or Sugeno's fuzzy reasoning method is a very promising approach to the problem of non-linear, multi-variable, real valued function approximation, and the design of a fuzzy model and fuzzy controller. The proposed architecture, ASAFES2, is a function approximator which is, as far as we know, the first algorithm in the literature up to now that combines this particular re...

In this paper a new fuzzy modeling algorithm is proposed and a new inference schema is developed for fuzzy reasoning that suits to the proposed approach

Reasoning on belief using fuzzy logic as present in some prominent medical fuzzy expert systems is examined from the point of view of formal logic

In [14], we have presented a fuzzy forward reasoning methodology for rule-based systems using the functional representation of rules (fuzzy implications). In this paper, we extend methodology for selecting relevant fuzzy implications from [14] in backward reasoning. The proposed methodology takes full advantage of the functional representation of fuzzy implications and the algebraic properties ...