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。
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.
出处
《运筹与管理》
CSSCI
CSCD
北大核心
2013年第5期117-121,共5页
Operations Research and Management Science
基金
教育部人文社科青年基金资助项目(11YJC630168)
教育部中央高校基本业务费--创新团队类项目(G2012501013)
东北大学秦皇岛分校校内科研基金资助项目(XNR201305)
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
management science
group multiattribute decision making
fuzzy entropy
fuzzy cross entropy
interval-valued intuitionist fuzzy set
