Pythagorean fuzzy sets in UP-algebras and approximations

The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras...
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Autor*in:	Akarachai Satirad [verfasserIn] Ronnason Chinram [verfasserIn] Aiyared Iampan [verfasserIn]

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2021

Schlagwörter:	up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation

Übergeordnetes Werk:	In: AIMS Mathematics - AIMS Press, 2018, 6(2021), 6, Seite 6002-6032
Übergeordnetes Werk:	volume:6 ; year:2021 ; number:6 ; pages:6002-6032

Links:	Link aufrufen Link aufrufen Link aufrufen Journal toc

DOI / URN:	10.3934/math.2021354

Katalog-ID:	DOAJ001686402

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spelling	10.3934/math.2021354 doi (DE-627)DOAJ001686402 (DE-599)DOAJ959e700f227343e781d3b960dc662b4d DE-627 ger DE-627 rakwb eng QA1-939 Akarachai Satirad verfasserin aut Pythagorean fuzzy sets in UP-algebras and approximations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets. up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation Mathematics Ronnason Chinram verfasserin aut Aiyared Iampan verfasserin aut In AIMS Mathematics AIMS Press, 2018 6(2021), 6, Seite 6002-6032 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:6 year:2021 number:6 pages:6002-6032 https://doi.org/10.3934/math.2021354 kostenfrei https://doaj.org/article/959e700f227343e781d3b960dc662b4d kostenfrei http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 6 2021 6 6002-6032
allfields_unstemmed	10.3934/math.2021354 doi (DE-627)DOAJ001686402 (DE-599)DOAJ959e700f227343e781d3b960dc662b4d DE-627 ger DE-627 rakwb eng QA1-939 Akarachai Satirad verfasserin aut Pythagorean fuzzy sets in UP-algebras and approximations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets. up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation Mathematics Ronnason Chinram verfasserin aut Aiyared Iampan verfasserin aut In AIMS Mathematics AIMS Press, 2018 6(2021), 6, Seite 6002-6032 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:6 year:2021 number:6 pages:6002-6032 https://doi.org/10.3934/math.2021354 kostenfrei https://doaj.org/article/959e700f227343e781d3b960dc662b4d kostenfrei http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 6 2021 6 6002-6032
allfieldsGer	10.3934/math.2021354 doi (DE-627)DOAJ001686402 (DE-599)DOAJ959e700f227343e781d3b960dc662b4d DE-627 ger DE-627 rakwb eng QA1-939 Akarachai Satirad verfasserin aut Pythagorean fuzzy sets in UP-algebras and approximations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets. up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation Mathematics Ronnason Chinram verfasserin aut Aiyared Iampan verfasserin aut In AIMS Mathematics AIMS Press, 2018 6(2021), 6, Seite 6002-6032 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:6 year:2021 number:6 pages:6002-6032 https://doi.org/10.3934/math.2021354 kostenfrei https://doaj.org/article/959e700f227343e781d3b960dc662b4d kostenfrei http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 6 2021 6 6002-6032
allfieldsSound	10.3934/math.2021354 doi (DE-627)DOAJ001686402 (DE-599)DOAJ959e700f227343e781d3b960dc662b4d DE-627 ger DE-627 rakwb eng QA1-939 Akarachai Satirad verfasserin aut Pythagorean fuzzy sets in UP-algebras and approximations 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets. up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation Mathematics Ronnason Chinram verfasserin aut Aiyared Iampan verfasserin aut In AIMS Mathematics AIMS Press, 2018 6(2021), 6, Seite 6002-6032 (DE-627)1011276194 (DE-600)2917342-5 24736988 nnns volume:6 year:2021 number:6 pages:6002-6032 https://doi.org/10.3934/math.2021354 kostenfrei https://doaj.org/article/959e700f227343e781d3b960dc662b4d kostenfrei http://www.aimspress.com/article/doi/10.3934/math.2021354?viewType=HTML kostenfrei https://doaj.org/toc/2473-6988 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ SSG-OLC-PHA GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 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_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_2088 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 6 2021 6 6002-6032
language	English
source	In AIMS Mathematics 6(2021), 6, Seite 6002-6032 volume:6 year:2021 number:6 pages:6002-6032
sourceStr	In AIMS Mathematics 6(2021), 6, Seite 6002-6032 volume:6 year:2021 number:6 pages:6002-6032
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topic_facet	up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation Mathematics
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author	Akarachai Satirad
spellingShingle	Akarachai Satirad misc QA1-939 misc up-algebra misc pythagorean fuzzy set misc pythagorean fuzzy up-subalgebra misc pythagorean fuzzy near up-filter misc pythagorean fuzzy up-filter misc pythagorean fuzzy up-ideal misc pythagorean fuzzy strong up-ideal misc upper approximation misc lower approximation misc Mathematics Pythagorean fuzzy sets in UP-algebras and approximations
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topic_title	QA1-939 Pythagorean fuzzy sets in UP-algebras and approximations up-algebra pythagorean fuzzy set pythagorean fuzzy up-subalgebra pythagorean fuzzy near up-filter pythagorean fuzzy up-filter pythagorean fuzzy up-ideal pythagorean fuzzy strong up-ideal upper approximation lower approximation
topic	misc QA1-939 misc up-algebra misc pythagorean fuzzy set misc pythagorean fuzzy up-subalgebra misc pythagorean fuzzy near up-filter misc pythagorean fuzzy up-filter misc pythagorean fuzzy up-ideal misc pythagorean fuzzy strong up-ideal misc upper approximation misc lower approximation misc Mathematics
topic_unstemmed	misc QA1-939 misc up-algebra misc pythagorean fuzzy set misc pythagorean fuzzy up-subalgebra misc pythagorean fuzzy near up-filter misc pythagorean fuzzy up-filter misc pythagorean fuzzy up-ideal misc pythagorean fuzzy strong up-ideal misc upper approximation misc lower approximation misc Mathematics
topic_browse	misc QA1-939 misc up-algebra misc pythagorean fuzzy set misc pythagorean fuzzy up-subalgebra misc pythagorean fuzzy near up-filter misc pythagorean fuzzy up-filter misc pythagorean fuzzy up-ideal misc pythagorean fuzzy strong up-ideal misc upper approximation misc lower approximation misc Mathematics
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title	Pythagorean fuzzy sets in UP-algebras and approximations
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title_full	Pythagorean fuzzy sets in UP-algebras and approximations
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title_sort	pythagorean fuzzy sets in up-algebras and approximations
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title_auth	Pythagorean fuzzy sets in UP-algebras and approximations
abstract	The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets.
abstractGer	The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets.
abstract_unstemmed	The aim of this paper is to apply the concept of Pythagorean fuzzy sets to UP-algebras, and then we introduce five types of Pythagorean fuzzy sets in UP-algebras. In addition, we will also discuss the relationship between some assertions of Pythagorean fuzzy sets and Pythagorean fuzzy UP-subalgebras (resp., Pythagorean fuzzy near UP-filters, Pythagorean fuzzy UP-filters, Pythagorean fuzzy UP-ideals, Pythagorean fuzzy strong UP-ideals) in UP-algebras and study upper and lower approximations of Pythagorean fuzzy sets.
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title_short	Pythagorean fuzzy sets in UP-algebras and approximations
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Pythagorean fuzzy sets in UP-algebras and approximations

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