Ranking alternatives with fuzzy weights using maximizing set and minimizing set

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 (wJ i ) of alternatives (A i ) 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. ( 1999 Published by Elsevier Science B.V. All rights reserved.