一种改进的直觉模糊熵度量方法及应用  

Improved Measure of Intuitionistic Fuzzy Entropy and Its Applications

作　　者：赵飞[1,2] 王青山[1] 郭勇[1] 

机构地区：[1]信息工程大学 [2]95900部队

出　　处：《信息工程大学学报》2015年第2期139-144,共6页Journal of Information Engineering University

摘　　要：针对现有直觉模糊熵定义中约束条件存在的差异以及熵度量中存在的与实际和直觉不相符合的地方进行对比分析,提出一种改进的直觉模糊熵公理化定义,在此基础上构造了一个新的直觉模糊熵公式。算例分析表明,所提出的熵公式能够更充分反映直觉模糊集的不确定性。最后将提出的熵公式应用于解决权重未知的直觉模糊多属性决策问题。An axiomatic definition on entropy is proposed by analyzing the differences in the constraint conditions of intuitionistic entropy and the contradicted points with reality and people＇ s intuition, and a new intuitionistic entropy measure is structured based on improved constraint conditions. By examples, it is shown that the new entropy can better reflect the uncertainty of intuitionistic fuzzy sets. Finally, a new method is proposed to solve multi-attribute decision making problems whose weight is unknown completely with the entropy measure.

关 键 词：直觉模糊集 不确定性 直觉模糊熵 隶属函数 

分 类 号：O235[理学—运筹学与控制论]