On rough fuzzy set algebras

被引：0

作者：

Wu, Wei-Zhi ^{[1
]}

Xu, You-Hong ^{[1
]}

机构：

[1] Zhejiang Ocean Univ, Informat Coll, Zhousha 316004, Zhejiang, Peoples R China

来源：

FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY, PROCEEDINGS | 2006年 / 4223卷

关键词：

approximation operators; fuzzy sets; rough fuzzy set algebras; rough fuzzy sets; rough sets;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

A rough fuzzy set is a pair of fuzzy sets resulting from the approximation of a fuzzy set in a crisp approximation space. A rough fuzzy set algebra is a fuzzy set algebra with added dual pair of rough fuzzy approximation operators. In this paper, structures of rough fuzzy set algebras are studied. It is proved that if a system (F(U), boolean AND, boolean OR, similar to, L, H) is a (a serial, a reflexive, a symmetric, a transitive, an Euclidean, a Pawlak, respectively) rough fuzzy set algebra then the derived system (F(U), boolean AND, boolean OR, similar to, LL, HH) is a (a serial, a reflexive, a symmetric, a transitive, an Euclidean, a Pawlak, respectively) rough fuzzy set algebra. Properties of rough fuzzy approximation operators in different types of rough fuzzy set algebras are also examined.

引用

页码：256 / 265

页数：10

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