• AN APPLICATION OF FUZZY SOFT SETS IN DECISION MAKING PROBLEMS USING FUZZY SOFT MATRICES

Abstract

Application of fuzzy soft sets in decision making problems is one of the most recent topics developed while trying to solve real life problems in an imprecise environment. It has been accepted that for the complement of a fuzzy soft set as initiated by Maji, the set theoretic axioms of contradiction and exclusion are not valid. In this context, Neog and Sut put forward a new definition of complement of a fuzzy soft set and showed that all the properties of complement of a set in classical sense are satisfied by fuzzy soft sets also according to the proposed definition of complement. In this paper, we have applied our new notion of complement of a fuzzy soft set to obtain the solution of a decision problem in an imprecise environment. Our work is an attempt to apply our notions of fuzzy soft complement and fuzzy soft matrix together with a new fuzzy matrix operation “addition” in a decision making problem