Multicriteria decision making method based on 2-order additive fuzzy measures

In order to face with the two main problems of applying the fuzzy integrals based multicriteria decision making (MCDM) in real applications, this paper explains the visual representation and decision meaning of the interaction between decision criteria in terms of the equivalent curve of the decision alternatives, proposes a new algorithm to identify 2-order additive fuzzy measures based on the diamond pairwise comparisons (DPC). The correctness of the algorithm is proved. Then, with the identified 2-order additive fuzzy measures, this paper presents a method in which Choquet integral is take as an aggregation function to integrate the evaluation of the alternatives. Finally, an illustrative example is given to demonstrate the practical feasibility and validity of the proposed method.