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

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