A new intuitionistic fuzzy implication and the negation, conjunctions and disjunctions generated by it

Abstract

A new – the 207-th – intuitionistic fuzzy implication is introduced over intuitionistic fuzzy sets. Over its basis, new intuitionistic fuzzy negation, conjunctions and disjunctions are constructed. For the first time, it is shown that all three conjunctions generated by the same implication coincide, whence their respective disjunctions are different. Some properties of the newly constructed operations are studied.