Ranking alternatives with fuzzy weights using maximizing set and minimizing set

Abstract

Ranking alternatives (both qualitative as well as quantitative) in a multicriterion environment, employing experts opinion (preference structure) using fuzzy numbers and linguistic variables, are presented in this paper. Fuzzy weights (#i) of alternatives (Ai) are computed using standard fuzzy arithmetic. Concept of maximizing set and minimizing set is introduced to decide total utility or ordering value of each of the alternatives. A numerical example is provided at the end to illustrate the method.