广义直觉模糊熵及其在权重确定中的应用  

Generalized intuitionistic fuzzy entropy and its application in weight determination

作　　者：熊升华 吴胜[1,2] 陈振颂 李延来[1,2] 

机构地区：[1]西南交通大学交通运输与物流学院,成都610031 [2]西南交通大学综合交通运输智能化国家地方联合工程实验室,成都610031 [3]香港城市大学科学与工程学院系统工程与工程管理系,香港999077

出　　处：《控制与决策》2017年第5期845-854,共10页Control and Decision

基　　金：国家自然科学基金项目(71371156;71401142);香港特别行政区研究资助委员会(T32-101/15-R)

摘　　要：在综合考虑直觉模糊集(IFS)的直觉信息和模糊信息的基础上,提出广义直觉模糊熵的定义;分析直觉模糊集的直觉信息和模糊信息对广义直觉模糊熵的影响;在合理选取广义直觉模糊熵参数的前提下,基于熵权法构建一种同时获取决策者和属性权重的方法.案例分析验证了所提出方法的可行性和有效性,为解决权重信息完全未知的多属性群决策(MAGDM)问题提供一类新思路.The concept of the generalized intuitionistic fuzzy entropy is developed by considering the intuitive and fuzzy information with respect to an intuitionistic fuzzy set（IFS）. The influence of an IFS＇s respective information on its generalized intuitionistic fuzzy entropy is analyzed. With the premise of determining the parameters of the generalized intuitionistic fuzzy entropy reasonably, an efficient method based on the entropy weight approach is proposed to determine the weights of decision makers and that of attributes simultaneously. The proposed weight determination method can be applied to address the multi-attribute group decision making problem in which the weight information is completely unknown. Finally, a numerical example is provided to illustrate the effectiveness and feasibility of the proposed method.

关 键 词：多属性群决策 广义直觉模糊熵 权重 熵权法 

分 类 号：C934[经济管理—管理学]