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/).

引用

页码：118 / 132

页数：15

共 28 条

[1] [Anonymous], 1910, Introduction to a form of general analysis
[2] Concept lattices and order in fuzzy logic
Belohlávek, R
[J]. ANNALS OF PURE AND APPLIED LOGIC, 2004, 128 (1-3) : 277 - 298
[3] Fuzzy closure operators
Belohlávek, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 262 (02) : 473 - 489
[4] Beˇlohlavek R., 2002, FUZZY RELATION SYSTE
[5] Pavelka-style fuzzy logic in retrospect and prospect
Belohlavek, Radim
[J]. FUZZY SETS AND SYSTEMS, 2015, 281 : 61 - 72
[6] Computing the Lattice of All Fixpoints of a Fuzzy Closure Operator
Belohlavek, Radim
De Baets, Bernard
Outrata, Jan
Vychodil, Vilem
[J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2010, 18 (03) : 546 - 557
[7] CLOSURE SYSTEMS AND L-SUBALGEBRAS
BIACINO, L
GERLA, G
[J]. INFORMATION SCIENCES, 1984, 33 (03) : 181 - 195
[8] Bodenhofer U, 1999, SIMILARITY BASED GEN, V01
[9] Cabrera I.P., 2022, FUZZY SET SYST
[10] Relational Galois connections between transitive digraphs: Characterization and construction
Cabrera, Inma P.
Cordero, Pablo
Munoz-Velasco, Emilio
Ojeda-Aciego, Manuel
De Baets, Bernard
[J]. INFORMATION SCIENCES, 2020, 519 : 439 - 450

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