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基于区间值直觉模糊集的距离测度
引用本文:赵法信.基于区间值直觉模糊集的距离测度[J].微电子学与计算机,2010,27(2).
作者姓名:赵法信
作者单位:通化师范学院,吉林通化,134002
基金项目:吉林省科技发展计划项目,吉林省教育厅科学技术研究项目 
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.

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

Distances Between Interval-Valued Intuitionistic Fuzzy Sets
ZHAO Fa-xin.Distances Between Interval-Valued Intuitionistic Fuzzy Sets[J].Microelectronics & Computer,2010,27(2).
Authors:ZHAO Fa-xin
Abstract:Interval-valued intuitionistic fuzzy sets, as a further generalization of intuitionistic fuzzy sets, has more powerful ability to represent fuzzy information than intuitionistic fuzzy sets. Based on the interval-valued intuitionistic 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.
Keywords:fuzzy set  intuitionistic fuzzy set  interval-valued intuitionistic fuzzy set  Hamming distance  Euclidean distance
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