• A STUDY ON SOME NEW OPERATIONS OF FUZZY SOFT SETS AND ESTABLISHED FORWARD A DECISION-MAKING PROBLEM

Abstract

Molodstov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. Maji et al. have also introduced several basic concepts of soft set theory. They have also introduced the concept of fuzzy soft set, a more generalized thought, which is a combination of fuzzy set and soft set. They introduced some properties concerning fuzzy soft union, intersection, the complement of a fuzzy soft set, De Morgan Laws etc. These results were also revised and improved by Ahmad and Kharal. They defined arbitrary fuzzy soft union and intersection and proved De Morgan Inclusions and De Morgan Laws in Fuzzy Soft Set Theory. The fuzzy soft set is one of the current topics incited for dealing with the doubtfulness present in most of our real-life circumstances. The parameterization tool of soft set theory improves the flexibility of its application. The motive of this paper is to study the concept of the disjunctive sum, difference and symmetric difference of fuzzy soft sets and their basic properties. Finally, we have established forward a decision-making problem using the concept of the cardinality of fuzzy soft sets.