Lattice Structures of Rough Fuzzy Sets

被引：0
|
作者：
Liu, Guilong [1 ]
机构：
[1] Beijing Language & Culture Univ, Sch Informat Sci, Beijing 100083, Peoples R China
来源：
ROUGH SETS, FUZZY SETS, DATA MINING AND GRANULAR COMPUTING, PROCEEDINGS | 2009年 / 5908卷
关键词：
Rough sets; Fuzzy sets; Rough fuzzy sets; Lower approximations; upper approximations; Lattices;
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：
Tins paper studies lattice structure of the family of rough fuzzy sets in a given approximation space. Our result is an extension of standard rough sets. Starting with the definition of rough fuzzy sets, the union, intersection and pseudocomplementation operations are generalized. Then it is proved that the above family with these operations is a distributive lattice. This paper also gives the characterization of borderline region of rough fuzzy sets.
引用
收藏
页码：253 / 260
页数：8
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