On residuation in multilattices: Filters, congruences, and homomorphisms

被引：20
|
作者：
Cabrera, I. P. [1 ]
Cordero, P. [1 ]
Gutierrez, G. [1 ]
Martinez, J. [1 ]
Ojeda-Aciego, M. [1 ]
机构：
[1] Univ Malaga, Dept Matemat Aplicada, E-29071 Malaga, Spain
来源：
FUZZY SETS AND SYSTEMS | 2014年 / 234卷
关键词：
Hyperalgebra; Pocrim; Multilattices; Residuation; FUZZY AUTOMATA; LATTICES; LOGIC; ALGEBRAS;
D O I：
10.1016/j.fss.2013.04.002
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
Continuing with our general study of algebraic hyperstructures, we focus on the residuated operation in the framework of multilattices. Firstly, we recall the existing relation between filters, homomorphisms and congruences in the framework of multilattices; then, introduce the notion of residuated multilattice and further study the notion of filter, which has to be suitably modified so that the results in the first section are conveniently preserved also in the residuated case. (C) 2013 Elsevier B.V. All rights reserved.
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页码：1 / 21
页数：21
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