Fuzzy neighborhood operators and derived fuzzy coverings

被引：83
作者：
Yang, Bin [1 ,2 ]
Hu, Bao Qing [1 ,2 ]
机构：
[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China
[2] Wuhan Univ, Computat Sci Hubei Key Lab, Wuhan 430072, Hubei, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2019年 / 370卷
基金：
中国国家自然科学基金;
关键词：
Fuzzy beta-covering; Fuzzy beta-minimal description; Fuzzy beta-maximal description; Fuzzy neighborhood operator; Rough sets; Fuzzy sets; ROUGH SETS; ATTRIBUTE REDUCTION; APPROXIMATION; SYSTEMS;
D O I：
10.1016/j.fss.2018.05.017
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Fuzzy coverings are natural extensions of the coverings by replacing crisp sets with fuzzy sets. Recently, some fuzzy neighborhood operators based on a fuzzy covering were defined and their properties were investigated by D'eer et al. In this paper, we propose four types of fuzzy neighborhood operators by introducing the notions such as beta-neighborhood system, fuzzy beta-minimal description and fuzzy beta-maximal description. First, we propose these notions and investigate their properties. Then we construct four types of fuzzy neighborhood operators based on the fuzzy beta-coverings. Properties and relationship among these four types of fuzzy neighborhood operators are studied. Finally, six types of fuzzy beta-coverings were derived by using these four types of fuzzy neighborhood operators and their properties are considered. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：1 / 33
页数：33
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