Einstein choquet integral operators for PROMETHEE II group decision making method with triangular intuitionistic fuzzy numbers

Abstract

In order to reflect the interactions phenomena among attributes involved in decision making and simulate the mechanism of human’s fuzziness thinking, a group decision model is established, in which the evaluation values are represented by triangular intuitionistic fuzzy numbers. By virtue of fuzzy Einstein Choquet integral geometric operator, the values of each expert with respect to multi-attributes are aggregated into triangular intuitionistic fuzzy numbers, and some interesting properties of that are also studied. PROMETHEE II model is employed to obtain group opinion, and select the best alternative. The proposed method can take full advantage of interactions information contained in the original data and the subjective information of experts. Moreover, an illustrative example is employed to demonstrate the practicality and effectiveness of the proposed approach.