Abstract: With respect to multiple attribute group decision making(MAGDM)problems in which the attribute values given by the decision makers are the interval-valued intuitionist fuzzy set(IVIFS)and the weights of the decision makers are unknown, a new fuzzy entropy measure is proposed. We define the fuzzy degree of the information 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 decision makers by using arithmetic weighted method and geometric weighted method of generating, The illustrated examples verify the efficiency of the method.

Key words: management science, group multiattribute decision making, fuzzy entropy, fuzzy cross entropy, interval-valued intuitionist fuzzy set

摘要： 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。

关键词: 管理科学, 多属性群决策, 模糊熵, 模糊交叉熵, 区间直觉模糊集