Weak Forms of Soft Separation Axioms and Fixed Soft Points

IF 1.3 Q2 MATHEMATICS, APPLIED Fuzzy Information and Engineering Pub Date : 2020-10-01 DOI:10.1080/16168658.2021.1924528
T. Al-shami, E. A. Abo-Tabl, Baravan A. Asaad
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引用次数: 10

Abstract

Realizing the importance of separation axioms in classifications of topological spaces and studying certain properties of fixed points, we formulate new soft separation axioms, namely tt-soft and tt-soft b-regular spaces. Their definitions depend on three factors: soft b-open sets, total belong and total non-belong relations. In fact, they are genuine generalizations of p-soft -spaces in the cases of i = 0, 1, 2. With the help of examples, we study the relationships between them as well as with soft and soft b-regular spaces. Some interesting properties of them are obtained under the conditions of soft hyperconnected and extended soft topological spaces. Also, we show that they are preserved under finite product soft spaces and soft -homeomorphism mappings. Finally, we introduce a concept of b-fixed soft points and investigate its main properties.
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软分离公理的弱形式和不动软点
认识到分离公理在拓扑空间分类中的重要性,并研究了不动点的某些性质,提出了新的软分离公理,即tt-soft和tt-soft b-正则空间。它们的定义取决于三个因素:软b开集、全隶属关系和全不隶属关系。事实上,在i = 0,1,2的情况下,它们是p-软空间的真正推广。通过实例研究了它们之间的关系以及它们与软b正则空间和软b正则空间之间的关系。在软超连通和扩展软拓扑空间条件下,得到了它们的一些有趣性质。此外,我们还证明了它们在有限积软空间和软同胚映射下是保持的。最后,我们引入了b固定软点的概念,并研究了它的主要性质。
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来源期刊
CiteScore
2.30
自引率
0.00%
发文量
13
审稿时长
40 weeks
期刊介绍: Fuzzy Information and Engineering—An International Journal wants to provide a unified communication platform for researchers in a wide area of topics from pure and applied mathematics, computer science, engineering, and other related fields. While also accepting fundamental work, the journal focuses on applications. Research papers, short communications, and reviews are welcome. Technical topics within the scope include: (1) Fuzzy Information a. Fuzzy information theory and information systems b. Fuzzy clustering and classification c. Fuzzy information processing d. Hardware and software co-design e. Fuzzy computer f. Fuzzy database and data mining g. Fuzzy image processing and pattern recognition h. Fuzzy information granulation i. Knowledge acquisition and representation in fuzzy information (2) Fuzzy Sets and Systems a. Fuzzy sets b. Fuzzy analysis c. Fuzzy topology and fuzzy mapping d. Fuzzy equation e. Fuzzy programming and optimal f. Fuzzy probability and statistic g. Fuzzy logic and algebra h. General systems i. Fuzzy socioeconomic system j. Fuzzy decision support system k. Fuzzy expert system (3) Soft Computing a. Soft computing theory and foundation b. Nerve cell algorithms c. Genetic algorithms d. Fuzzy approximation algorithms e. Computing with words and Quantum computation (4) Fuzzy Engineering a. Fuzzy control b. Fuzzy system engineering c. Fuzzy knowledge engineering d. Fuzzy management engineering e. Fuzzy design f. Fuzzy industrial engineering g. Fuzzy system modeling (5) Fuzzy Operations Research [...] (6) Artificial Intelligence [...] (7) Others [...]
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