A comparative study of variable precision fuzzy rough sets based on residuated lattices

被引：10
|
作者：
Wang, Chun Yong [1 ]
机构：
[1] Shandong Normal Univ, Sch Math & Stat, Jinan 250014, Shandong, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2019年 / 373卷
基金：
中国国家自然科学基金;
关键词：
L-fuzzy implication; Residuated lattices; Variable precision upper L-fuzzy approximation operator; UNIVERSES; MODEL;
D O I：
10.1016/j.fss.2018.08.004
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Although Qiao and Hu intended to propose granular variable precision L-fuzzy rough sets based on residuated lattices, L actually denotes a doubly residuated lattice with an involutive negation. However, there exist doubly residuated lattices without involutive negations. This paper presents a comparative study of variable precision fuzzy rough sets based on residuated lattices, in which we compare variable precision L-fuzzy rough sets with the preexisting models. A variable precision upper L-fuzzy rough approximation operator is proposed with L-fuzzy granules based on L-fuzzy implication on a residuated lattice L instead of a doubly residuated lattice. The variable precision upper L-fuzzy rough approximation operator is investigated with respect to different L-fuzzy relations regardless of proposing an involutive negation on a residuated lattice. (C) 2018 Elsevier B.V. All rights reserved.
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页码：94 / 115
页数：22
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