On generalized correlation coefficients of the hesitant fuzzy sets with their application to clustering analysis

Abstract

Hesitant fuzzy sets (HFSs) are considered as a powerful tool to deal with uncertain information in the problems of group decision making (GDM). To measure the degree of association between the two HFSs various correlation coefficients exist in the literature. We derive one parametric and two parametric generalizations of these correlation coefficients and apply them to clustering analysis in hesitant fuzzy settings. We also investigate the effectiveness of the proposed generalized correlation coefficients while dealing with a real-world problem by clustering analysis.