Compactness and Closed Maps in Topological Fuzzes

被引：0

作者：

Akbarpour, M. ^{[1
]}

Mirhosseinkhani, G. ^{[2
]}

机构：

[1] Univ Hormozgan, Math, Dept Math, Bandarabbas, Iran

[2] Sirjan Univ Technol, Math, Dept Math & Comp Sci, Sirjan, Iran

来源：

JOURNAL OF MATHEMATICAL EXTENSION | 2022年 / 16卷 / 09期

关键词：

Topological fuzz; Weakly compact; Proper fuzz map; CATEGORY;

D O I：

10.30495/JME.2022.1787

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we present the notion of weakly compact topological fuzzes and give some characterizations of them. In particular, a characterization of weakly compactness are given by the closedness of the projection fuzz maps. Also, we study some properties of proper fuzz maps as an important class of closed fuzz maps.

引用

页数：11

共 11 条

[1] Adamek J., 1990, ABSTRACT CONCRETE CA
[2] Akbarpour M., 2017, HADRONIC J, V40, P327
[3] Bourbaki N., 1988, GEN TOPOLOGY, V1
[4] Clementino M.M., 2007, OPEN PROBLEMS TOPOLO, V2, P367
[5] Hutton B., 1980, Fuzzy Sets and Systems, V3, P93, DOI 10.1016/0165-0114(80)90007-X
[6] PRODUCTS OF FUZZY TOPOLOGICAL SPACES
Hutton, Bruce
[J]. TOPOLOGY AND ITS APPLICATIONS, 1980, 11 (01) : 59 - 67
[7] Top is a reflective and coreflective subcategory of fuzzy topological spaces
Li, YM
Li, ZH
[J]. FUZZY SETS AND SYSTEMS, 2000, 116 (03) : 429 - 432
[8] Exponentiable objects in the category of topological molecular lattices
Li, YM
[J]. FUZZY SETS AND SYSTEMS, 1999, 104 (03) : 407 - 414
[9] ORDER-HOMOMORPHISMS ON FUZZES
WANG, GJ
[J]. FUZZY SETS AND SYSTEMS, 1984, 12 (03) : 281 - 288
[10] THEORY OF TOPOLOGICAL MOLECULAR LATTICES
WANG, GJ
[J]. FUZZY SETS AND SYSTEMS, 1992, 47 (03) : 351 - 376

← 1 2 →