The universal coefficient theorem in the category of intuitionistic fuzzy modules

Abstract

The concept of intuitionistic fuzzy sets was introduced by Atanassov as an extension of fuzzy set theory in which not only a membership degree is given, but also a non-membership degree, which is more or less independent. In this paper, the exact sequences of intuitionistic fuzzy homology modules are constructed under certain conditions. Using these results, the universal coefficient theorem for intuitionistic fuzzy homology modules is proved.