证据视角下考虑多参考点的直觉模糊多属性决策模型

Intuitionistic Fuzzy Multi-attribute Decision Model Based on Evidence Perspective and Multi-reference Points

针对直觉模糊多属性决策中,决策者内心同时存在多个独立参考点并且各属性之间相互关联的问题,进一步考虑智能传感设备在决策中的参考作用,提出证据视角下考虑多参考点的直觉模糊多属性决策模型。模型首先利用证据理论融合各传感器数据,得到各状态的mass函数;其次,考虑决策者内心同时存在多个参考点,利用价值函数得到各状态下多参考点价值矩阵;进一步,针对属性间的关联性,利用模糊积分得到各状态下不同方案的综合评价值;再次,利用基于证据理论的直觉模糊诱导有序加权平均(DS-IFIOWA)算子将各状态下不同方案的综合评价值进行集结,得到方案的总评价值,并以此对方案进行排序和优选。最后,利用数值算例验证了模型的有效性和可行性。

For the problem of multiple independent reference points and the correlation between attributes in intuitionistic fuzzy multiple attribute decision making, we consider the decision support function of intelligent sensing devices further and propose an intuitionistic fuzzy multiple attribute decision making model based on multiple independent reference points and evidence perspective. The proposed model firstly uses the evidence theory to fuse multiple sensor data and get the mass function of multiple decision states. Secondly, given multiple independent reference points, we use value function to get the value matrix based on multiple reference points in multiple decision states. Further, for the correlation between attributes, we use fuzzy integral to get the comprehensive evaluation value of alternatives in multiple decision states. Thirdly, in order to sort all the alternatives and select the best one, we use DS-IFIOWA operator to get the overall value based on the comprehensive evaluation value of alternatives in multiple decision states. Finally, numerical examples are used to verify the validity and feasibility of the model.