On intuitionistic fuzzy measures and the count of intuitionistic fuzzy sets

There have been three approaches to find the measures of fuzzy sets, which extend the count function for crisp sets. The first one is due to Deluca and Termini; second one a measure theoretic approach due to Zadeh and a bag theoretic approach due to Tripathy et al. Intuitionistic fuzzy sets are generalizations of fuzzy sets. So, efforts have been made recently to extend the above three approaches to find measures for cardinalities of intuitionistic fuzzy sets. The extension of the approach due to Deluca and Termini to the context of intuitionistic fuzzy sets by Tripathy et al [9]. In this paper, we define measures of intuitionistic fuzzy sets to define the count of an intuitionistic fuzzy set in the direction of Zadeh. Also, we establish several properties of these measures.