More on The Fuzzy Topological Spaces on A Fuzzy Space (X, I)

被引：0
|
作者：
Jawarneh, Ibrahim [1 ]
Alkouri, Abd Ulazeez [2 ]
Hazaimeh, Mohammad [1 ]
Altawallbeh, Zuhier [3 ]
机构：
[1] Al Hussein Bin Talal Univ, Dept Math, POB 20, Maan, Jordan
[2] Ajloun Natl Univ, Dept Math, POB 43-26810, Ajloun, Jordan
[3] Tafila Tech Univ, Dept Math, Tafila 66110, Jordan
来源：
INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2022, ICNAAM-2022 | 2024年 / 3094卷
关键词：
D O I：
10.1063/5.0210144
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The fuzzy topological space was introduced by Dip in 1999 depending on the notion of the fuzzy space (X, I). In this paper, further definitions, and theorems on fuzzy topological space ((X, I), tau) fill the lack in Dip's article. Different types of the fuzzy topology tau are investigated and illustrated such as co-finite fuzzy topology, co-countable fuzzy topology, right ray (or left ray) fuzzy topology, and standard (usual) fuzzy topology. Furthermore, boundary, exterior, dense, and isolated fuzzy point of a fuzzy subspace are presented based on the fuzzy space (X, I). Finally, fuzzy separation axioms on the fuzzy space (X, I) are introduced.
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页数：4
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