Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties

The aim of this paper is to give an interesting connection between two mathematical approaches to vagueness: binary bipolar soft sets and binary bipolar soft topology. The binary bipolar soft points are defined using binary bipolar soft sets. The binary bipolar soft set will be the binary bipolar so...
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Autor*in:	Hind Y. Saleh [verfasserIn] Areen A. Salih [verfasserIn] Baravan A. Asaad [verfasserIn] Ramadhan A. Mohammed [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2023

Schlagwörter:	binary bipolar soft set binary bipolar soft point binary bipolar soft topology binary bipolar soft closure binary bipolar soft interior

Übergeordnetes Werk:	In: Symmetry - MDPI AG, 2009, 16(2023), 1, p 23
Übergeordnetes Werk:	volume:16 ; year:2023 ; number:1, p 23

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3390/sym16010023

Katalog-ID:	DOAJ096299711

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allfieldsSound	10.3390/sym16010023 doi (DE-627)DOAJ096299711 (DE-599)DOAJ2ccede723d1a42beb68c9baa1bc899f9 DE-627 ger DE-627 rakwb eng QA1-939 Hind Y. Saleh verfasserin aut Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties 2023 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The aim of this paper is to give an interesting connection between two mathematical approaches to vagueness: binary bipolar soft sets and binary bipolar soft topology. The binary bipolar soft points are defined using binary bipolar soft sets. The binary bipolar soft set will be the binary bipolar soft union of its binary bipolar soft points. Moreover, the notion of binary bipolar soft topological spaces over two universal sets and a parameter set is proposed. Some topological properties of binary bipolar soft sets, such as binary bipolar soft open, binary bipolar soft closed, binary bipolar soft closure, binary bipolar soft interior, and binary bipolar soft boundary, are introduced. Some important properties of these classes of binary bipolar soft sets are investigated. Furthermore, the symmetry relation is compared between binary bipolar soft topology and binary soft topology on a common universe set. Finally, some results and counterexamples are demonstrated to explain this work. binary bipolar soft set binary bipolar soft point binary bipolar soft topology binary bipolar soft closure binary bipolar soft interior Mathematics Areen A. Salih verfasserin aut Baravan A. Asaad verfasserin aut Ramadhan A. Mohammed verfasserin aut In Symmetry MDPI AG, 2009 16(2023), 1, p 23 (DE-627)610604112 (DE-600)2518382-5 20738994 nnns volume:16 year:2023 number:1, p 23 https://doi.org/10.3390/sym16010023 kostenfrei https://doaj.org/article/2ccede723d1a42beb68c9baa1bc899f9 kostenfrei https://www.mdpi.com/2073-8994/16/1/23 kostenfrei https://doaj.org/toc/2073-8994 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_206 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_602 GBV_ILN_2005 GBV_ILN_2009 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2055 GBV_ILN_2111 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 16 2023 1, p 23
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callnumber-first	Q - Science
author	Hind Y. Saleh
spellingShingle	Hind Y. Saleh misc QA1-939 misc binary bipolar soft set misc binary bipolar soft point misc binary bipolar soft topology misc binary bipolar soft closure misc binary bipolar soft interior misc Mathematics Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties
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topic_title	QA1-939 Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties binary bipolar soft set binary bipolar soft point binary bipolar soft topology binary bipolar soft closure binary bipolar soft interior
topic	misc QA1-939 misc binary bipolar soft set misc binary bipolar soft point misc binary bipolar soft topology misc binary bipolar soft closure misc binary bipolar soft interior misc Mathematics
topic_unstemmed	misc QA1-939 misc binary bipolar soft set misc binary bipolar soft point misc binary bipolar soft topology misc binary bipolar soft closure misc binary bipolar soft interior misc Mathematics
topic_browse	misc QA1-939 misc binary bipolar soft set misc binary bipolar soft point misc binary bipolar soft topology misc binary bipolar soft closure misc binary bipolar soft interior misc Mathematics
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title	Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties
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title_auth	Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties
abstract	The aim of this paper is to give an interesting connection between two mathematical approaches to vagueness: binary bipolar soft sets and binary bipolar soft topology. The binary bipolar soft points are defined using binary bipolar soft sets. The binary bipolar soft set will be the binary bipolar soft union of its binary bipolar soft points. Moreover, the notion of binary bipolar soft topological spaces over two universal sets and a parameter set is proposed. Some topological properties of binary bipolar soft sets, such as binary bipolar soft open, binary bipolar soft closed, binary bipolar soft closure, binary bipolar soft interior, and binary bipolar soft boundary, are introduced. Some important properties of these classes of binary bipolar soft sets are investigated. Furthermore, the symmetry relation is compared between binary bipolar soft topology and binary soft topology on a common universe set. Finally, some results and counterexamples are demonstrated to explain this work.
abstractGer	The aim of this paper is to give an interesting connection between two mathematical approaches to vagueness: binary bipolar soft sets and binary bipolar soft topology. The binary bipolar soft points are defined using binary bipolar soft sets. The binary bipolar soft set will be the binary bipolar soft union of its binary bipolar soft points. Moreover, the notion of binary bipolar soft topological spaces over two universal sets and a parameter set is proposed. Some topological properties of binary bipolar soft sets, such as binary bipolar soft open, binary bipolar soft closed, binary bipolar soft closure, binary bipolar soft interior, and binary bipolar soft boundary, are introduced. Some important properties of these classes of binary bipolar soft sets are investigated. Furthermore, the symmetry relation is compared between binary bipolar soft topology and binary soft topology on a common universe set. Finally, some results and counterexamples are demonstrated to explain this work.
abstract_unstemmed	The aim of this paper is to give an interesting connection between two mathematical approaches to vagueness: binary bipolar soft sets and binary bipolar soft topology. The binary bipolar soft points are defined using binary bipolar soft sets. The binary bipolar soft set will be the binary bipolar soft union of its binary bipolar soft points. Moreover, the notion of binary bipolar soft topological spaces over two universal sets and a parameter set is proposed. Some topological properties of binary bipolar soft sets, such as binary bipolar soft open, binary bipolar soft closed, binary bipolar soft closure, binary bipolar soft interior, and binary bipolar soft boundary, are introduced. Some important properties of these classes of binary bipolar soft sets are investigated. Furthermore, the symmetry relation is compared between binary bipolar soft topology and binary soft topology on a common universe set. Finally, some results and counterexamples are demonstrated to explain this work.
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title_short	Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties
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Binary Bipolar Soft Points and Topology on Binary Bipolar Soft Sets with Their Symmetric Properties

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