Using concept lattice theory to obtain the set of solutions of multi-adjoint relation equations

被引：30
作者：
Carlos Diaz-Moreno, Juan [1 ]
Medina, Jesus [1 ]
机构：
[1] Univ Cadiz, Dept Math, Cadiz, Spain
来源：
INFORMATION SCIENCES | 2014年 / 266卷
关键词：
Fuzzy relation equation; Galois connection; Property-oriented concept lattice; FUZZY RELATION EQUATIONS; MINIMAL SOLUTIONS;
D O I：
10.1016/j.ins.2014.01.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
An important goal in the fuzzy relation equations framework is to obtain the whole set of solutions. This paper introduces algebraic properties in the multi-adjoint concept lattice setting. Moreover, using the relationship between these concept lattices and multi-adjoint relation equations, the complete set of solutions of these general equations is characterized and computed, avoiding the necessity of considering minimal solutions. (C) 2014 Elsevier Inc. All rights reserved.
引用
收藏
页码：218 / 225
页数：8
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