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381963

Locally α-compact spaces based on continuous valued logic

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Last updated: 05 Jan 2025

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Abstract

This paper is a continuation of [1]. That is, it considers fuzzifying topologies, a special
case of I-fuzzy topologies (bifuzzy topologies), introduced by Ying [2]. It investigates topological
notions defined by means of a-open sets when these are planted into the framework of Ying's fuzzifying
topological spaces (by Łukasiewicz logic in [0, 1]). Other characterizations of fuzzifying acompactness are given, including characterizations in terms of nets and a-subbases. Several characterizations of locally a-compactness in the framework of fuzzifying topology are introduced and the mapping theorems are obtained.

DOI

10.1016/j.joems.2013.06.003

Keywords

Łukasiewicz logic, Fuzzifying topology, Fuzzifying compactness, a-Compactness, Fuzzifying locally compactness, Locally a-compactness

Authors

First Name

O.R.

Last Name

Sayed

MiddleName

-

Affiliation

Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt

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Orcid

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Volume

22

Article Issue

1

Related Issue

50468

Issue Date

2014-04-01

Receive Date

2013-04-14

Publish Date

2024-09-01

Page Start

70

Page End

82

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 22_Issue 1_Pages 70-82.pdf

PDF . 638.0kB

Link

https://joems.journals.ekb.eg/article_381963.html

Detail API

https://joems.journals.ekb.eg/service?article_code=381963

Order

381,963

Type

Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Locally α-compact spaces based on continuous valued logic

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Article

Created At

21 Dec 2024