摘要
模糊熵是刻画模糊集不确定性的一个基本概念.通过对区间直觉模糊集的模糊度的本质分析,给出了符合人们直觉的区间直觉模糊集的模糊熵的公理化定义,并指出原有关于区间模糊集的模糊熵的公理化的不足,相应地提出了一个关于区间直觉模糊集模糊熵的计算公式,并通过定理证明和实例分析,说明它具有良好的数学性质,所得结果更加合理.
The fuzzy entropy is a basic concept of the uncertainty of fuzzy set.Based on analyzing the essence of fuzzy entropy of interval-valued intuitionistic fuzzy sets,this paper points out deficiencies of the existing axiom definition about fuzzy entropy of interval-valued intuitionistic fuzzy sets and gives new axiom definition about fuzzy entropy which accords with the person＇s intuition and presents a new corresponding formula of the interval-valued intuitionistic fuzzy sets.Through proved theorem and analyzed example,it shows that the new formula has some good mathematics properties and the results accord with the person＇s intuition.
出处
《重庆文理学院学报（自然科学版）》
2010年第3期21-24,共4页
Journal of Chongqing University of Arts and Sciences
关键词
区间直觉模糊集
模糊熵
不确定性
Interval-valued intuitionistic fuzzy sets（IVIFS）
fuzzy entropy
uncertainty
