信息不完全确定的多准则区间直觉模糊决策方法

For multi-criteria decision-making problems, in which the information on the criteria’s weights is incomplete certain and criteria’s values is interval intuitionistic fuzzy set, a multi-criteria ranking method based on evidential reasoning is proposed. Using evidential reasoning algorithms, the criteria values are aggregated, and interval intuitionistic fuzzy set of alternatives are attained, and the distances between alternatives and idea /anti-idea alternatives are computed. Considering the incomplete certain information on weights, a nonlinear programming model is developed. Then using particle swarm optimization algorithms to solve the nonlinear programming models, the optimal criteria’s weights are gained. And ranking is performed through the comparison of the distances between the alternatives and idea/anti-idea alternative. Finally, an example is given to explain the feasibility and availability of this method.