Decomposable measures and information measures for intuitionistic fuzzy sets

摘要

The aim of this paper is to construct a decomposable measure on the class of measurable intuitionistic fuzzy sets, extending thus the corresponding results for fuzzy sets in a very recent paper. The main tool in this construction is a non-trivial approximation (with restrictions) result concerning the intuitionistic fuzzy sets. As an application we construct a compositive information measure on the class of intutionistic fuzzy sets.