Correlation Coefficient for the Interval-valued Neutrosophic Hesitant Fuzzy Set and Its Use in Multi-attribute Decision Making

Abstract

Interval-valued neutrosophic hesitant fuzzy set (INHFS) is a generalization of the fuzzy set (FS) that is designed for some practical situations in which each element has different truth membership hesitant function, indeterminacy membership hesitant function and falsity membership hesitant function, and permits the membership degrees to have a set of possible interval values. In this paper, we develop the correlation coefficient and the weighted correlation coefficient for INHFSs and study their properties. Then, an approach to multi- attribute decision making (MADM) within the framework of INHFS is developed by the weighted correlation coefficient. Finally, a practical application of the developed approach to the problem of investment is given, and the result shows that our approach is reasonable and effective in dealing with decision making (DM) problems.