On uniqueness of (fuzzy) relation in some generalized rough set model

被引：0
|
作者：
Pei Dao-wu [1 ]
机构：
[1] Zhejiang Sci Tech Univ, Dept Math, Hangzhou 310018, Zhejiang, Peoples R China
来源：
APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B | 2014年 / 29卷 / 03期
基金：
中国国家自然科学基金;
关键词：
fuzzy relation; rough set; fuzzy rough set; lower approximation operator; upper approximation operator; AXIOMATIC CHARACTERIZATION;
D O I：
10.1007/s11766-014-2798-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In rough set theory, crisp and/or fuzzy binary relations play an important role in both constructive and axiomatic considerations of various generalized rough sets. This paper considers the uniqueness problem of the (fuzzy) relation in some generalized rough set model. Our results show that by using the axiomatic approach, the (fuzzy) relation determined by (fuzzy) approximation operators is unique in some (fuzzy) double-universe model.
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页码：253 / 264
页数：12
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