Subsethood measure for picture fuzzy sets and its applications on multicriteria decision making

Picture fuzzy set is a direct generalization of intuitionistic and therefore more capable dealing with uncertainty while working on real life problems. The concept inclusion subject that frequently studied in family sets has many applications Therefore, this work, the measuring degree between picture introduced. For purpose, firstly axioms for subsethood measure are given then based distance proposed. Then, numerical example provided to illustrate applicability usefulness presented measure. Finally, results compared existing methods aggregation operator show validity PFS.