An intuitionsitic fuzzy judgement matrix and TOPSIS integrated multi-criteria decision making method for green supplier selection

摘要

This article proposes an intuitionistic fuzzy multi-criteria decision making method for supplier selection problem in which attribute values take the form of intuitionistic fuzzy numbers and attribute weights are completely unknown in advance. Firstly, the definition of intuitionistic fuzzy judgement matrix by conducting pair-wise comparisons for green supplier selection criteria is introduced. Then, a novel approach for making priority of the intuitionistic fuzzy judgement matrix is proposed to determine the subject weights of criteria. Secondly, an optimization model is established to determine the objective weights, which maximizes the distance of every alternative to negative-ideal solution. Furthermore, the subject and objective weights are integrated to general weights. Then, a Technique of ranking Preferences by Similarity to the Ideal Solution (TOPSIS) method combined with intuitionistic fuzzy set is set up to rank all the alternatives. The novelty of this method is that it conducts sensitivity analysis to determine the impact of criteria weights on ranking order of alternatives. Finally, a numerical example for green supplier selection is given to illustrate application of the proposed approach.