Granular variable precision fuzzy rough sets with general fuzzy relations

被引：64
|
作者：
Wang, Chun Yong [1 ]
Hu, Bao Qing [2 ]
机构：
[1] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China
[2] Wuhan Univ, Sch Math & Stat, Wuhan 430072, PR, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2015年 / 275卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy rough sets; Fuzzy granules; Granular variable precision fuzzy rough sets; Fuzzy implications; APPROXIMATION OPERATORS; SIMILARITY RELATIONS; MODEL; REDUCTION; NORM;
D O I：
10.1016/j.fss.2015.01.016
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The variable precision (theta, sigma)-fuzzy rough sets were proposed to remedy the defects of preexisting fuzzy rough set models. However, the variable precision (theta, sigma)-fuzzy rough sets were only defined and investigated on fuzzy *-similarity relations. In this paper, the granular variable precision fuzzy rough sets with general fuzzy relations are proposed on arbitrary fuzzy relations. The equivalent expressions of the approximation operators are given with fuzzy (co)implications on arbitrary fuzzy relations, which can calculate efficiently the approximation operators. The granular variable precision fuzzy rough sets are characterized from the constructive approach, which are investigated on different fuzzy relations. The conclusions on the variable precision (theta, sigma)-fuzzy rough sets are generalized into the granular variable precision fuzzy rough sets. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码：39 / 57
页数：19
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