基于证据理论和直觉模糊集的群决策信息集结方法

针对多属性群决策信息集结问题,利用D S证据理论和直觉模糊集的相关方法,提出基于直觉模糊熵的属性权重确定方法,并将专家对属性的直觉模糊评价信息转化为Mass函数形式,将专家关于方案集的多属性证据信息进行了修正和合成;为了便于度量任意两个专家之间评价证据的冲突程度,提出基于证据冲突度的专家权重确定方法,并将所有专家关于方案集的证据信息进行修正和综合集成。结合算例验证了方法的有效性和合理性。

Method for group decision-making information integration based on evidence theory and intuitionistic fuzzy set

For information integration of multi-attribute group decision-making, the paper uses the Dempster-Shafer (D-S) evidence theory and relevant theories of the intuitionistic fuzzy set, puts forward a method for attribution-weight determination based on intuitionistic fuzzy entropy, turns the intuitionistic fuzzy evaluation information of the attribute into the Mass function form, and modifies and synthesizes the multi-attribute of the expert group towards the project set. In order to get the conflict degree of two experts’ evaluation evidence, the paper puts forward a method for expert-weight determination based on the evidence conflict degree, and modifies and integrates the evidence information of all experts towards the project set. An example is used to verify the effectiveness and rationality of this method.