Generalized correlation coefficients of the hesitant fuzzy sets and the hesitant fuzzy soft sets with application in group decision-making

Abstract

Hesitant fuzzy soft set (HFSS) is considered as a powerful tool to capture uncertain information in group decision-making process. In this communication, we propose generalized correlation coefficient for hesitant fuzzy sets (HFS) and further extend for HFSS. Using generalized correlation coefficient of HFSS, we define generalized correlation efficiency which shows the significance of the HFSS. We also propose an algorithm to apply generalized correlation coefficient in group decision-making (GDM) problem, where information is presented in the hesitant fuzzy soft environment. Finally, with the help of an example, we show the effectiveness of the proposed algorithm which uses the concept of generalized correlation efficiency.