摘要

This paper presents a chi-square method for ranking alternatives based on a fuzzy judgement matrix about the alternatives provided by the decision maker (DM). First of all, the concepts of fuzzy judgement matrix and its consistency are introduced. Then, a non-linear optimization model is constructed to obtain ranking values of the alternatives and to select the most desirable alternative(s). In order to solve the model, some theoretical analysis and an iterative algorithm axe also given. Finally, a numerical example is presented to illustrate the use of the proposed method.