Equivalence Relations on the Set of Implicative Interval-Valued Intuitionistic (T,S)-Fuzzy Filters of Pseudo-BL Algebras
The notion of implicative interval-valued intuitionistic fuzzy filter of a pseudo-BL algebra with respect to t−norm T and t−conorm S is introduced. The characteristic properties and connections are described. Also some natural equivalence relations and partitions defined on the set of implicative interval-valued intuitionistic (T, S)−fuzzy filters are analysed.
Keywords: Pseudo-BL algebra, (implicative) filter, (implicative) interval-valued intuitionistic (T, S)−fuzzy filter