基于证据理论的直觉模糊群决策方法

Intuitionistic Fuzzy Group Decision-making Method Based on Evidence Theory

针对属性权重和专家权重完全未知的直觉模糊群决策问题,提出一种基于证据理论的决策方法。基于记分函数和属性不确定度,将专家的直觉模糊决策矩阵转化为Mass函数;运用了基于直觉模糊熵的属性权重计算方法,将专家针对属性集关于方案集的评价证据进行修正与合成;确定了考虑接近度与相似度的专家权重计算方法,融合了TOPSIS法与Jousselme距离度量专家权重,将各专家关于方案集的评价证据进行修正与合成,最后进行方案排序。运用实例证明了方法的合理性和有效性。

In order to solve the intuitionistic fuzzy group decision problem with completely unknown attribute weight and expert weight,a decision method based on evidence theory is proposed.Based on the scoring function and attribute uncertainty,the expert’s intuitionistic fuzzy decision matrix is transformed into Mass function. The method of attribute weight calculation considering intuitionistic fuzzy entropy is determined. The evaluation evidence of attribute set about schema set is modified and synthesized by experts. The expert weight calculation method considering proximity and similarity is determined. The TOPSIS method and Jousselme distance are fused to measure the expert weight. The expert evaluation evidence on the schema set is revised and synthesized. Finally,the scheme sequencing is obtained. The rationality and validity of the method are proved by an example.