基于模糊熵的直觉模糊多属性群决策方法

针对专家权重未知、专家判断信息以直觉模糊集给出的多属性群决策问题,提出了一种新的决策方法.通过定义直觉模糊集的模糊熵计算专家判断信息的模糊程度,进而确定每位专家的权重.然后定义直觉模糊集的模糊交叉熵确定备选方案距理想方案和负理想方案的距离,再根据加权算术算子集结专家的判断信息,得到方案的排序.最后,通过一个实例分析验证了方法的有效性.

Method based on Fuzzy Entropy with Intuitionistic Fuzzy Set for Group Multi-attribute Decision Making

For the problem of group multi-attribute decision making,in which the attribute values given by the decision makers are the intuitionist fuzzy sets and the weights of the decision makers are unknown,a decision making method is proposed.We calculate the fuzzy degree of the information given by decision makers using fuzzy entropy of the intuitionist fuzzy set,and determine the weights of the decision makers.Then we determine the candidate distance between the ideal solution and the negative-ideal solution using fuzzy cross entropy,and generated the information of the decision makers by arithmetic weighted mean and get the ranking results.The example analysis proves the efficiency of the method.