On the atanassov concept of fuzziness and one of its modification

Abstract

The family F of intuitionistic fuzzy sets [1–3] is compared with the family V of interval valued fuzzy sets. Since the spaces are isomorphic, from the measure theory on V themeasure theory on F can be deduced. In the paper they arementioned the state representation [7, 8, 44, 50], the inclusion—exclusion property [6, 22, 23] and the existence of invariant state [45].