Information Entropy, Similarity Measure and Inclusion Measure of Intuitionistic Fuzzy Sets.

This paper introduces a new axiomatic definition of the inclusion measure for intuitionistic fuzzy sets (IFSs, for short). The close relationships among information entropy, similarity measure, and inclusion measure of IFSs are then discussed in detail. Also, it investigates some important theorems by which the information entropy, similarity measure and inclusion measure of IFSs can be deduced easily based on their axiomatic definitions. Simultaneously, some new formulae to calculate information entropy, similarity measure and inclusion measure of IFSs are put forward.