New results on single axioms for L-fuzzy rough approximation operators

被引：16
|
作者：
Wang, Chun Yong [1 ,2 ]
Zhang, Xinguang [3 ,4 ]
Wu, Yonghong [4 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
[2] Qingdao Univ Sci & Technol, Sch Math & Phys, Qingdao 266061, Shandong, Peoples R China
[3] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
[4] Curtin Univ Technol, Dept Math & Stat, Perth, WA 6845, Australia
来源：
FUZZY SETS AND SYSTEMS | 2020年 / 380卷
基金：
中国国家自然科学基金;
关键词：
Residuated lattices; L-fuzzy relations; L-fuzzy rough approximation operators; L-fuzzy rough sets; SETS;
D O I：
10.1016/j.fss.2019.04.001
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
This paper further studies axiomatic characterizations of L-fuzzy rough sets, where L denotes a residuated lattice. Single axioms for upper L-fuzzy rough approximation operators are investigated in two different approaches, which describe upper L-fuzzy approximation operators with ordinary L-fuzzy operations and L-fuzzy product operation, respectively. We characterize upper L-fuzzy rough approximation operators by only one axiom with ordinary L-fuzzy operations, when the L-fuzzy relation is Euclidean as well as the composition of Euclidean with serial (resp. reflexive). We also discuss the single axioms for upper L-fuzzy rough approximation operators with L-fuzzy product operation on arbitrary L-fuzzy relations that are not limited as either general L-fuzzy relations or symmetric L-fuzzy relations. The single axioms for lower L-fuzzy rough approximation operators are discussed with ordinary L-fuzzy operations regardless of the regularity of residuated lattice L. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页码：131 / 149
页数：19
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