Similarity measure based on characteristic values for intuitionistic trapezoidal fuzzy numbers and its multicriteria decision-making method

Shapu Ren

COMPUTER MODELLING & NEW TECHNOLOGIES 2014 18(12C) 205-209

Department of Electrical and Information Engineering, Shaoxing University, Shaoxing, Zhejiang Province 312000, P.R. China

A similarity measure and a weighted similarity measure based on the distance between characteristic values for intuitionistic trapezoidal fuzzy numbers are proposed in this paper. Then an intuitionistic trapezoidal fuzzy multicriteria decision-making method is established based on the weighted similarity measure between the characteristic values, in which the preference values of alternatives on criteria are the form of intuitionistic trapezoidal fuzzy numbers and the criteria weights are known information. By means of the ideal alternative, the weighted similarity measure between an alternative and the ideal alternative based on the intuitionistic trapezoidal fuzzy numbers is presented to derive the optimal evaluation for each alternative. The ranking of alternatives and the best one can be determined according to the values of the weighted similarity measure for all alternatives. Finally, an illustrative example demonstrates the effectiveness of the proposed method.