Title :
On connectives in fuzzy logic satisfying the condition S (T1 (x, y),T2(x, N(y)))=x
Author_Institution :
Univ. Politecnica de Catalunya, Barcelona, Spain
Abstract :
We solve completely the Pexider type equation S (T1(x, y), T2(x, N(y)))=x where S, T1, T2 and N are continuous functions such that S is a t-conorm, T1 and T2 are t-norms and N is a strong negation. Motivated by this study considerations are made on fuzzy connectives which may satisfy conditions involving several classes of disjunctions, conjunctions and negations
Keywords :
Boolean functions; fuzzy logic; fuzzy set theory; minimax techniques; Boolean algebra; Pexider type equation; conjunctions; continuous functions; disjunctions; fuzzy connectives; fuzzy logic; negation; Boolean algebra; Differential equations; Fuzzy logic; Fuzzy sets; Logic functions; Niobium; Proposals;
Conference_Titel :
Fuzzy Systems, 1997., Proceedings of the Sixth IEEE International Conference on
Conference_Location :
Barcelona
Print_ISBN :
0-7803-3796-4
DOI :
10.1109/FUZZY.1997.616360
