A new similarity measure between picture fuzzy sets and its application

Picture fuzzy set is a generalization of intuitionistic fuzzy set, which can describe fuzzy, uncertain, incomplete and inconsistent information. Similarity measure is a technique used to evaluate the degree of similarity between picture fuzzy sets. Although there are some similarity measures between picture fuzzy sets, some of them cannot meet the axiomatic definition of similarity measure, or there are some unreasonable situations when distinguishing different picture fuzzy information. In order to overcome these defects, a new similarity measure based on the three constituent functions of picture fuzzy sets is proposed in this paper. Through a numerical example and some pattern recognition experiments, the effectiveness and superiority of the proposed similarity measure are verified.