Extension of Intuitionistic Fuzzy Sets to New Universal

Abstract

Atanassov [1] defined the union, intersection and inclusion of intuitionistic fuzzy sets on the same universal. In [2], Riecan and Atanassov defined new intuitionistic fuzzy sets on different universals and they examined the union, intersection and inclusion of these sets. In this paper we gave counterexamples for the results of union, intersection and inclusion of these sets. For these situations we defined new intuitionistic fuzzy sets. In addition, we studied some properties of new intuitionistic fuzzy sets to be considered in their new universals.