摘要
距离测度是直觉模糊集理论的重要研究内容之一.本文基于三参数区间值模糊集,提出了三参数直觉模糊数与三参数直觉模糊集的概念,给出了三种含隶属度重心点的距离测度,并针对不同决策背景对三参数权重的距离测度进行分析,最后结合实例说明它的有效性.
Distance measure is an important research topic in intuitionistic fuzzy sets theory, This paper proposes the concept of three parameters intuitionistic fuzzy number and three parameters intuitionistic fuzzy sets based on three parameters interval-valued fuzzy set, and defines three kinds of distance measure containing the barycenter of membership degree. On the basis, we provides a detailed analysis about weight distance measure of three parameters intuitionistic fuzzy sets based on the different decision background. Finally, we validates the effectiveness of the method through numerical example.
出处
《漳州师范学院学报（自然科学版）》
2013年第3期16-24,共9页
Journal of ZhangZhou Teachers College（Natural Science)
基金
国家自然基金项目(10971185
10971186
71140004)
福建省资助省属高校科研专项(JK2011031)
福建省自然科学基金指导性科技计划项目(2012D141)
关键词
距离测度
隶属度重心
三参数直觉模糊集
distance measure
the barycenter of membership degree
three parameters intuitionistic fuzzy sets
