[(I ,J  )]-interval-valued intuitionistic fuzzy rough sets

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (5): 159-163.

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[(I ,J )]-interval-valued intuitionistic fuzzy rough sets

YANG Weiping1, LIN Menglei2

1.Department of Mathematics and Information Science, Zhangzhou Normal University, Zhangzhou, Fujian 363000, China
2.Department of Computer Science and Engineering，Zhangzhou Normal University, Zhangzhou, Fujian 363000, China

Received:1900-01-01 Revised:1900-01-01 Online:2012-02-11 Published:2012-02-11

[(I ,J )]-区间直觉模糊粗糙集

杨伟萍1，林梦雷2

1.漳州师范学院数学与信息科学系，福建漳州 363000
2.漳州师范学院计算机科学与工程系，福建漳州 363000

Abstract

Abstract: By two intuitionistic fuzzy implicators [I ]and[J] in Wu Weizhi’s paper, this paper extends [(I,J )]-intuitionistic fuzzy rough sets to [(I,J )]-interval-valued intuitionistic fuzzy rough sets. It defines an interval-valued intuitionistic fuzzy approximation space. It investigates the properties of [(I,J )]-interval-valued intuitionistic fuzzy rough sets. It generalizes the results in Zhang Zhiming et al’s paper.

Key words: interval-valued intuitionistic fuzzy rough sets, interval-valued intuitionistic fuzzy sets, interval-valued intuitionistic fuzzy implicators, rough sets

摘要： 利用吴伟志所定义的两个直觉模糊蕴涵算子[I ]和[J]，把[(I,J )]-直觉模糊粗糙集的概念推广到区间直觉模糊集的情形，给出了区间直觉模糊近似空间的概念及[(I,J )]-区间直觉模糊粗糙集，研究了[(I,J )]-区间直觉模糊粗糙集的基本性质并推广了张植明等人提出的结论。

关键词: 区间直觉模糊粗糙集, 区间直觉模糊集, 区间直觉模糊蕴涵算子, 粗糙集

YANG Weiping1, LIN Menglei2. [(I ,J )]-interval-valued intuitionistic fuzzy rough sets[J]. Computer Engineering and Applications, 2012, 48(5): 159-163.

杨伟萍1，林梦雷2.

[(I ,J )]-区间直觉模糊粗糙集

[J]. 计算机工程与应用, 2012, 48(5): 159-163.

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[(I ,J )]-interval-valued intuitionistic fuzzy rough sets

[(I ,J )]-区间直觉模糊粗糙集

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