基于改进证据理论的区间直觉模糊群决策方法

Interval-Valued Intuitionistic Fuzzy Group Decision-Making Method Based on Improved Theory of Evidence

针对区间直觉模糊多属性群决策问题中属性权重和专家权重完全未知的情况,根据"证据折扣"思想,采用改进D-S证据理论的方法进行决策。将专家的区间直觉模糊决策矩阵规范化并转换成Mass函数;确定了考虑区间直觉模糊熵的属性权重计算方法,将专家对属性集关于方案集的评价证据进行修正与合成,得到各专家关于方案集的评价证据;确定了融合冲突系数和Jousselme距离的证据冲突度计算方法并以此度量专家权重,将各专家关于方案集的评价证据进行修正与合成,最终得到了方案的优劣排序。通过算例编程计算验证了方法的可行性和有效性。

Aiming at the situation of completely unknown attributes＇ weights and experts＇ weights in interval - valued intuitionistic fuzzy multi - attribute group decision - making problems, in accordance with the idea of evidence discount, a method based on improved Dempster- Sharer （D -S） theory of evidence is used to make decision. The experts＇ interval- valued intuitionistic fuzzy decision -matrix is normalized and transformed into mass function. An attribution -weight calculation method is ascertained considering interval - valued intuitionistic fuzzy entropy, the muhi - attribute of experts＇ group towards project set is modified and integrated, and the evidence information of all experts towards project set is obtained. The calculation method of evidence conflict degree is established based on conflict coefficient and Jousselme distance and is used to compute the expert -weight, then the evidence information of all experts towards project set is modified and integrated and the ranking order of all the projects is determined. A numerical example is given to verify the feasibility and validity of this method.