Abstract:

For actual decision making problems, the traditional decision making methods can not effectively deal with the interaction between attributes. To solve this problem, a fuzzy integral multiattribute decision making method based on Mahalanobis-Taguchi system (MTS) and φs transformation is proposed. In this method,to overcome the problem of the λ fuzzy measure identification method based on φs transformation and the weights of attributes, this paper uses the Shapley value instead of weight to determine λ fuzzy measure. At the same time, this paper uses the Shapley value identification method based on Mahalanobis-Taguchi system, and the rationality of the identification method is analyzed. An illustrative example is given to analyze the sensitivity of the decision results based on different interaction degrees and verify the inference that the Shapley value is better than weight for decision making.