基于直觉模糊熵的专家权重确定方法及其验证  

Experts' weights method and computational experiment analysis based on intuitionistic fuzzy entropy measures

作　　者：赵萌[1,2] 任嵘嵘[1,2] 邱菀华[3] 

机构地区：[1]东北大学工商管理学院,沈阳110004 [2]东北大学秦皇岛分校管理学院,河北秦皇岛066004 [3]北京航空航天大学经济管理学院,北京100191

出　　处：《控制与决策》2015年第7期1233-1238,共6页Control and Decision

基　　金：国家自然科学基金项目(71473032;71401027);教育部人文社科项目(11YJC630168);河北省社会科学基金项目(HB14GL087);东北大学秦皇岛分校博士基金项目(XNB201404)

摘　　要：针对专家判断信息以直觉模糊集给出的直觉模糊群决策矩阵,提出一种新的客观确定专家权重的方法.与传统的通过专家评价的差异程度来确定专家权重的思路不同,该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,并对基于犹豫度、几何距离、相似度量和不确定程度4类模糊熵的定义对专家权重结果的影响进行实验和仿真分析.仿真结果表明,专家的权重不仅取决于不同类模糊熵的定义,还与专家个数和属性个数相关.For the problem of group multi-attribute decision making, in which the attribute values given by the decision makers are the intuitionistic fuzzy sets, a new method of determining the experts’ weights is proposed. Instead of the traditional experts’ weights measure, which is characterized by using the discriminating power to calculate the experts’ weights, the proposed method adopts the intuitionistic fuzzy entropy measure to emphasize the fuzzy degree of the information given by decision makers. Based on the four entropy measures, which are hesitation degree, distance, similarity and uncertainty degree entropy, the effects of experts’ weights results are compared in a computational experiment. The experiment results show that the experts’ weights not only depend on the different entropy measures but also the number of experts and attributes.

关 键 词：多属性群决策 专家权重 直觉模糊熵 直觉模糊集 判断矩阵 

分 类 号：C934[经济管理—管理学]