On the extension of lattice-valued implications via retractions

被引：21

作者：

Palmeira, Eduardo S. ^{[1
]}

Bedregal, Benjamin R. C. ^{[2
]}

Fernandez, Javier ^{[3
]}

Jurio, Aranzazu ^{[3
]}

机构：

[1] Univ Estadual Santa Cruz, Dept Ciencias Exatas & Tecnol, Ilheus, Brazil

[2] Univ Fed Rio Grande do Norte, Dept Informat & Matemat Aplicada, BR-59072970 Natal, RN, Brazil

[3] Univ Publ Navarra, Dept Automat & Computac, Pamplona, Spain

来源：

FUZZY SETS AND SYSTEMS | 2014年 / 240卷

关键词：

Extension; Lattice-valued implication; Lattice automorphism; Retraction; BOUNDED LATTICES; FUZZY-LOGIC; NEGATIONS; OPERATORS; NORMS;

D O I：

10.1016/j.fss.2013.07.023

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The main goal of this paper is to apply the method of extension of fuzzy connectives proposed in our previous work for fuzzy implications valued on a bounded lattice. Also we discuss about which properties of implications are preserved by this method and we prove some results involving extension and automorphisms. Finally, we investigate the behavior of the extensions of two special classes of fuzzy implications, namely (S. N)-implications and R-implications. (c) 2013 Elsevier B.V. All rights reserved.

引用

页码：66 / 85

页数：20

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