On decision-making with non-standard fuzzy subsets

Abstract

We describe the formal equivalence between interval valued and intuitionistic fuzzy subsets. We then discuss the role of fuzzy set methods in multi-criteria decision-making. We note that when an application involves non-standard, interval valued or intuitionistic fuzzy subsets, a problem arises in choosing a best alternative. This problem is a result of the fact that the membership grades of these non-standard fuzzy subsets are not completely ordered. Here, we introduce a method for evaluating alternatives in this situation.