K e y w o r d s C o m p e n s a t o r y , Fuzzy similarity measure, Inverted wedge system, Backpropagation algorithm. 1. I N T R O D U C T I O N Recently, the neural fuzzy approach to system modeling has become a popular research topic [110]. Moreover, the neural fuzzy method possesses the advantages of both the pure neural and the fuzzy methods; it brings the low-level learning and computation...

We discuss some optimization problems for fuzzy variable functions and show two interesting results. First result is related to conditions for existence of global optimal solutions for some general class of optimization problems on E, the space of compacts, upper semicontinuous and normal fuzzy sets of R. The second result is about preservation of local optimality points, via Zadeh’s principle ...

x'(t) = f ( t ,x( t ) ) , x(to) = xo, does not hold in general except in the special case where the fuzzy number space (E '~, D) is finite dimensional [1] or f is assumed to be continuous and bounded [2]. In this paper, the dissipative-type conditions which guarantee the existence theorem for Peano are specified based on the existence theorem of approximate solutions to above Cauchy problem. @ ...

The purpose of this paper is to introduce and study the concepts of fuzzy $e$-open set, fuzzy $e$-continuity and fuzzy $e$-compactness in intuitionistic fuzzy topological spaces. After giving the fundamental concepts of intuitionistic fuzzy sets and intuitionistic fuzzy topological spaces, we present intuitionistic fuzzy $e$-open sets and intuitionistic fuzzy $e$-continuity and other results re...

1. I n t r o d u c t i o n R o u g h l y speak ing , a fuzzy set is a class w i t h u n s h a r p b o u n d a r i e s , tha t is, a class in w h i c h the t r ans i t i on f rom m e m b e r s h i p t o n o n m e m b e r s h i p is g r a d u a l r a the r t h a n a b r u p t . In this sense , t h e class of ta l l m e n is a fuzzy set , as are t he classes o f beaut i fu l w o m e n , y o u n g ...