Some Measures of Picture Fuzzy Sets and Their Application in Multi-attribute Decision Making

To measure the difference of two fuzzy sets / intuitionistic sets, we can use the distance measure and dissimilarity measure between fuzzy sets.Characterization of distance/dissimilarity measure between fuzzy sets/intuitionistic fuzzy set is important as it has application in different areas: pattern recognition, image segmentation, and decision making.Picture fuzzy set (PFS) is a generalization of fuzzy set and intuitionistic set, so that it have many application.In this paper, we introduce concepts: difference between PFS-sets, distance measure and dissimilarity measure between picture fuzzy sets, and also provide the formulas for determining these values.We also present an application of dissimilarity measures in multi-attribute decision making.Index Terms: Picture fuzzy set (PFS), difference between PFS-sets, distance measure and dissimilarity measure between picture fuzzy sets, multi-attribute decision making.