An Application of Interval Valued Fuzzy Soft Matrix in Decision Making Problem

The concept of interval valued fuzzy matrix (IVFM) is one of the recent topics developed for dealing with the uncertainties present in most of our real life situations, the parameterization tool of interval valued fuzzy matrix enhances the flexibility of its applications. Most of our real life problems in medical sciences, engineering, management environment and social sciences often involve data which are not necessarily crisp. Precise and deterministic in character due to various uncertainties associated with these problems. Such uncertainties are usually being handled with the help of the topics like probability, fuzzy set, intuitionistic fuzzy sets, interval mathematics and rough sets etc. The concept of IVFM as a generalization of fuzzy matrix was introduced and developed by shyamal and pal [8], by extending the max. min operations on fuzzy algebra F=[0.1], for elements a, b F, a+b =max { a,b}and a. b = min {a,b}. Let F mn be the set of all m n Fuzzy Matrices over the Fuzzy algebra with support [0,1], that is matrices whose entries are intervals and all the intervals are subintervals of the interval [0,1].