Correlation Measures for Cubic m-Polar Fuzzy Sets with Applications

Abstract

A cubic $m$ -polar fuzzy set (CmPFS) is a new hybrid extension of $m$ -polar fuzzy set and cubic set. A CmPFS is a robust model to express multipolar information in terms of $m$ fuzzy intervals representing membership grades and $m$ fuzzy numbers representing nonmembership grades. In this article, we explore some new operational laws of CmPFSs, produce some related results, and discuss their consequences. We propose relative informational coefficients and relative noninformational coefficients for CmPFSs. These coefficients are analyzed to investigate further properties of CmPFSs. Based on these coefficients, we introduce new correlation measures and their weighted versions for CmPFSs. The value of proposed correlation measures is symmetrical and lies between −1 and 1. Moreover, the applications of the proposed correlation in pattern recognition and medical diagnosis are developed. The feasibility and efficiency of suggested correlation measures is determined by respective illustrative examples.