A new TOPSIS method for fuzzy multiple attribute group decision making problem
Ling Zeng · Journal of Guilin University of Electronic Technology · 2008
Based on the expected value operator of trapezoidal fuzzy number,a new TOPSIS method is presented to deal with fuzzy multiple attribute group decision making problem when the fuzzy decision matrixes and the weights of the decision attributes and decision makers are all given by trapezoidal fuzzy number.First,all normalized fuzzy decision matrixes are aggregated to the integrated weighted normalized fuzzy decision matrix by weighted arithmetic average operator.Then,according to the expected ranking method and distance formula of trapezoidal fuzzy number,the fuzzy positive-ideal solution,fuzzy negative-ideal solution and the relative distance of each alternative from fuzzy positive-ideal solution and fuzzy negative-ideal solution are obtained.The relative closeness of every alternative to fuzzy positive-ideal solution is thus determined.The ranking of all alternative is judged by the relative closeness.Finally,an example is presented to show the effectiveness of the proposed group decision making method.