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
收藏
页码：256 / 265
页数：10
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