蕴涵区间直觉模糊粗糙集及其性质

J4 ›› 2011, Vol. 46 ›› Issue (8): 104-109.

蕴涵区间直觉模糊粗糙集及其性质

林梦雷^1,杨伟萍²

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

收稿日期:2010-12-19 出版日期:2011-08-20 发布日期:2011-09-08
作者简介:林梦雷(1963- ),男,硕士,副教授,主要从事模糊理论与应用、粗系统理论与应用. Email: menglei36@126.com
基金资助:
国家自然科学基金资助项目(10971186);福建省自然科学基金资助项目(2009J01016)

Properties of interval-valued intuitionistic fuzzy rough sets with implicators

LIN Meng-lei¹, YANG Wei-ping²

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

Received:2010-12-19 Online:2011-08-20 Published:2011-09-08

摘要/Abstract

摘要：

在区间直觉模糊近似空间上,利用一对区间直觉模糊蕴涵算子(I,J),定义了蕴涵区间直觉模糊粗糙集的概念,并证明了相应的一些重要性质。最后,对区间直觉模糊关系的自反性,对称性和传递性进行了刻画。

关键词: 区间直觉模糊近似算子; 区间直觉模糊集; 区间直觉模糊粗糙集; 区间直觉模糊关系; 蕴涵算子

Abstract:

By employing two interval-valued intuitionistic fuzzy implicators I and J, interval-valued intuitionistic fuzzy rough sets with implicators are first defined in the intervalvalued intuitionistic fuzzy approximation space. Properties of interval-valued intuitionistic fuzzy rough sets with implicators are proved. Finally, the reflexivity, symmetry and transitivity of interval-valued intuitionistic fuzzy relations are characterized.

林梦雷1,杨伟萍2. 蕴涵区间直觉模糊粗糙集及其性质[J]. J4, 2011, 46(8): 104-109.

LIN Meng-lei1, YANG Wei-ping2. Properties of interval-valued intuitionistic fuzzy rough sets with implicators[J]. J4, 2011, 46(8): 104-109.

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