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Article | Open Access

Novel Classes of Bipolar Soft Generalized Topological Structures: Compactness and Homeomorphisms

Hind Y. Saleh1, Baravan A. Asaad2,3 ( ), Ramadhan A. Mohammed1
Department of Mathematics, College of Basic Education, University of Duhok, Duhok 42001, Iraq
Department of Computer Science, College of Science, Cihan University-Duhok, Duhok 42001, Iraq
Department of Mathematics, College of Science, University of Zakho, Zakho 42002, Iraq
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Abstract

The purpose of this paper is to define bipolar soft generalized compact sets and bipolar soft generalized compact spaces. The structures of g~~-centralized bipolar soft generalized closed sets collection in a bipolar soft generalized compact space are given. Moreover, some main properties of bipolar soft generalized compactness are discussed and their relationships are studied. The concept of a bipolar soft generalized compactness is introduced and it investigates under what condition a bipolar soft generalized topological space forms a bipolar soft generalized compact space. The relation between bipolar soft generalized compact space and soft generalized compact space is proposed. Furthermore, some further properties of bipolar soft mappings, such as bipolar soft composite mappings, are presented and some of their characteristics are explained. Additionally, novel classes of bipolar soft mapping such as bipolar soft generalized continuous, bipolar soft generalized open, and bipolar soft generalized closed mappings are defined. Finally, some results and counterexamples are obtained.

Keywords

bipolar soft generalized compact space (set)bipolar soft generalized continuous mappingsbipolar soft generalized homeomorphism mappings

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Fuzzy Information and Engineering
Volume 16 Issue 1,
March 2024
Pages 49-73
DOI: 10.26599/FIE.2023.9270031
Cite this article:
Saleh HY, Asaad BA, Mohammed RA. Novel Classes of Bipolar Soft Generalized Topological Structures: Compactness and Homeomorphisms. Fuzzy Information and Engineering, 2024, 16(1): 49-73. https://doi.org/10.26599/FIE.2023.9270031

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Received: 10 October 2023
Revised: 21 November 2023
Accepted: 31 December 2023
Published: 30 March 2024
© The Author(s) 2024. Published by Tsinghua University Press.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
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