基于区间值直觉模糊集的距离测度  

Distances Between Interval-Valued Intuitionistic Fuzzy Sets

作　　者：赵法信[1] 

机构地区：[1]通化师范学院,吉林通化134002

出　　处：《微电子学与计算机》2010年第2期188-192,共5页Microelectronics & Computer

基　　金：吉林省科技发展计划项目(20080174);吉林省教育厅“十一五”科学技术研究项目(吉教科合字[2007]第214号)

摘　　要：区间值直觉模糊集是直觉模糊集的进一步推广,具有比直觉模糊集更强大的模糊信息表达能力.基于区间值直觉模糊集理论,给出了三种基于海明距离、规范化海明距离、欧氏距离、规范化欧氏距离的扩展区间值直觉模糊集距离测度公式,对它们进行了比较分析,并给出了相应的定理和证明.Interval-valued intuitionistic fuzzy sets, as a further generalization of intuitionistie fuzzy sets, has more powerful ability to represent fuzzy information than intuitionistic fuzzy sets. Based on the interval-valued intuitionistie fuzzy set theory, three extended methods based on the well known Hamming distance, the Euclidean distance and their normalized counterparts for measuring distances between interval-valued intuitionistic fuzzy sets are given. Then the corresponding theorem and proof are given.

关 键 词：模糊集 直觉模糊集 区间值直觉模糊集 海明距离 欧氏距离 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]