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区间直觉模糊集的模糊熵群决策方法

         

摘要

With respect to multiple attribute group decision making ( MAGDM) problems in which the attribute val-ues given by the decision makers are the interval-valued intuitionist fuzzy set ( IVIFS) and the weights of the deci-sion makers are unknown , a new fuzzy entropy measure is proposed .We define the fuzzy degree of the informa-tion given by decision makers using fuzzy entropy of the interval-valued intuitionist fuzzy set , and determine the weights of the decision makers;We get the ranking results of each decision maker by calculating the ideal and the anti-ideal measure of IVIFS fuzzy cross entropy distance .Then we get the ranking results of the group deci-sion makers by using arithmetic weighted method and geometric weighted method of generating , The illustrated examples verify the efficiency of the method .%针对专家权重未知、专家判断信息以区间直觉模糊集给出的多属性群决策问题,提出了一种新的模糊熵决策方法。通过定义区间直觉模糊集的模糊熵判断专家信息的模糊程度,进而确定每位专家的权重;然后计算备选方案距理想方案和负理想方案的模糊交叉熵距离,得到每个专家对方案的排序;再分别利用加权算术算子和加权几何算子集结专家的排序结果,得到专家群体对方案的排序。实例分析验证了方法的有效性。

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