Distance measures on intuitionistic fuzzy sets based on intuitionistic fuzzy dissimilarity functions.

One of the significant topics in intuitionistic fuzzy set (IFS) is the measure of the distance between IFSs. Although distance measures on IFSs have been widely studied in previous studies, there are few studies about the generation of them. In this paper, a quaternary function called intuitionistic fuzzy dissimilarity function is proposed to construct distance measures on IFSs. Two methods for building intuitionistic fuzzy dissimilarity functions are presented. The first one is obtained by combining dissimilarity functions and fuzzy equivalencies. The second one is obtained based on constructing new intuitionistic fuzzy dissimilarity functions through other existing ones. We also examine and compare some properties of intuitionistic fuzzy dissimilarity functions, through which we obtain some properties of distance measures on IFSs. Some examples of pattern recognition are applied to illustrate the effectiveness of the proposed distance measures on IFSs. [ABSTRACT FROM AUTHOR]