Complete relations on fuzzy complete lattices

被引：11
作者：
Konecny, Jan [1 ]
Krupka, Michal [1 ]
机构：
[1] Palacky Univ, Dept Comp Sci, Data Anal & Modeling Lab, 17 Listopadu 12, Olomouc, Czech Republic
来源：
FUZZY SETS AND SYSTEMS | 2017年 / 320卷
关键词：
Fuzzy tolerance; Fuzzy order; Fuzzy Galois connection; Factorization; FACTORIZATION;
D O I：
10.1016/j.fss.2016.08.007
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
We generalize the notion of complete binary relation on complete lattice to residuated lattice valued ordered sets and show its properties. Then we focus on complete fuzzy tolerances on fuzzy complete lattices and prove they are in one-to-one correspondence with extensive isotone Galois connections. Finally, we prove that any fuzzy complete lattice factorized by a complete fuzzy tolerance is again a fuzzy complete lattice. (C) 2016 Elsevier B.V. All rights reserved.
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页码：64 / 80
页数：17
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