A group evaluation method for complex simulation system credibility based on 2-order additive fuzzy measure

Traditional group evaluation methods for complex simulation system credibility are always ignore the correlations among the evaluation indices and those among evaluation experts which lead to the evaluation result inaccurate. To address this problem, a new group evaluation method for complex simulation system credibility with the correlated assumption for evaluation indices and evaluation experts simultaneously is proposed. The 2-order additive fuzzy measure theory, AHP technique, game theory and fuzzy measure entropy theory are employed, and then a nonlinear programming model with constraints is constructed to confirm the correlated weights of evaluation indices and evaluation experts which are denoted by 2-order additive fuzzy measure, respectively. In order to calculate the credibility value of the complex simulation system, the Choquet integral is adopted to aggregate the credibility values and the correlated weights. Finally, an credibility evaluation example of China type CRH2 high-speed train traction drive simulation system (CRH2-TDSS) is illustrated to verify the flexibility and effectiveness of the proposed method.