Fuzzy closure relations

被引：2
|
作者：
Ojeda-Hernandez, Manuel [1 ]
Cabrera, Inma P. [1 ]
Cordero, Pablo [1 ]
Munoz-Velasco, Emilio [1 ]
机构：
[1] Univ Malaga, Andalucia Tech, Malaga, Spain
来源：
FUZZY SETS AND SYSTEMS | 2022年 / 450卷
关键词：
Fuzzy relation; Closure operator; Complete lattice; Extensional; GALOIS CONNECTIONS;
D O I：
10.1016/j.fss.2022.05.016
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The concept of closure operator is key in several branches of mathematics. In this paper, closure operators are extended to relational structures, more specifically to fuzzy relations in the framework of complete fuzzy lattices. The core of the work is the search for a suitable definition of (strong) fuzzy closure relation, that is, a fuzzy relation whose relation with fuzzy closure systems is one-to-one. The study of the properties of fuzzy closure systems and fuzzy relations helps narrow down this exploration until an appropriate definition is settled. (c) 2022 The Author(s). Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
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页码：118 / 132
页数：15
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