On invariant measures on intuitionistic fuzzy sets

Abstract

Very well known and important is the theory of the existence and uniqueness of measures invariant under a shift on a group (so-called Haar measure) in some groups. It was studied in many spaces and transformations. Such measure m is defined on a family of sets and such that for any. In the paper instead of sets intuitionistic fuzzy sets (IF-sets) are studied. As a special case the theory of invariant measures on fuzzy sets can be obtained.