Fuzzy concept lattices induced by doubly distance spaces

被引：2

作者：

Kim, Young-Hee ^{[1
]}

Oh, Ju-Mok ^{[2
]}

机构：

[1] Kwangwoon Univ, Ingenium Coll Liberal Arts Math, Seoul 01897, South Korea

[2] Gangneung Wonju Natl Univ, Math, Kangnung 25457, South Korea

来源：

FUZZY SETS AND SYSTEMS | 2023年 / 473卷

关键词：

Complete co-residuated lattices; Doubly distance spaces; Alexandrov topologies; f-stable fuzzy sets; g-stable fuzzy sets; Fuzzy concepts lattices;

D O I：

10.1016/j.fss.2023.108702

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We introduce three algebraic structures induced by a doubly distance space on a complete co-residuated lattice. We show that (1) the two families of f-stable fuzzy sets and g-stable fuzzy sets induced by a doubly distance space are complete lattices and (2) these two families are isomorphic as lattices. We define the fuzzy concept lattice induced by a doubly distance space and show that this fuzzy concept lattice forms a complete lattice. Moreover, we give two examples related to them for an information system. (c) 2023 Elsevier B.V. All rights reserved.

引用

页数：21

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