Ranking alternatives with fuzzy weights using maximizing 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 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.