Possibility m-polar fuzzy soft sets and its application in decision-making problems.

The major concern of this paper is to highlight the notion of possibility m-polar fuzzy soft set (because it is useful in decision-making and other similar problems). For convenience of practical applications, several operations (such as subset, equal, complement, union, intersection, inf product, and sup product) over the possibility m-polar fuzzy soft sets are introduced. We present two algorithms by using inf product or sup product operations of possibility m-polar fuzzy soft sets for fuzzy decision-making problem. Finally, we construct an algorithm using a possibility m-polar fuzzy soft set to solve the decision-making problems and illustrate its applicability through a numerical example. From the study, we conclude that the proposed approach is viable in order to handle the uncertainties during the decision-making problems.