基于集对分析的不确定多属性决策方法

Uncertain multi-attribute decision making methods based on set pair analysis

提出一种基于集对分析的多属性决策方法.该方法具有如下特点:能够有效处理决策过程中的不确定因素;基于可能势的联系数排序能够准确反映联系数间的同一对立程度,并能利用联系数的差异度对排序结果进行稳定性分析;用联系数决策矩阵的概念来刻画备选方案与正、负理想方案组成集对的同一对立程度,并以此为依据实现多属性决策.实例计算表明,该方法是求解不确定多属性决策问题的一种有效工具.

The new multi-attribute decision making （MADM） methods based on set pair analysis are proposed. The methods can effectively deal with the uncertain factors in decision making process. The ranking methods based on relatively certainty probability power can accurately depict the identity-contrary degree of the connection numbers and analyze the reliability of the ranking result by the discrepancy degree of connection numbers. Connection number decision matrix can obtain the identity-contrary degree of the set pairs structured by alternative schemes and ideal scheme, and is the core of MADM. Simulation results show that the proposed method is an effective tool to solve the uncertain multi-attribute decision making problems.