Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making

In this manuscript, we combine the notion of linear Diophantine fuzzy set (LDFS), uncertain linguistic set (ULS), and complex fuzzy set (CFS) to elaborate the notion of complex linear Diophantine uncertain linguistic set (CLDULS). CLDULS refers to truth, falsity, reference parameters, and their unce...

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Autores principales:	Zeeshan Ali, Tahir Mahmood, Gustavo Santos-García
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	complex linear Diophantine uncertain linguistic sets powered Einstein aggregation operators multi-attribute decision-making methods Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/95b0d53a10854ccfac3deab5cdf9998d
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id	oai:doaj.org-article:95b0d53a10854ccfac3deab5cdf9998d
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spelling	oai:doaj.org-article:95b0d53a10854ccfac3deab5cdf9998d2021-11-11T18:16:55ZHeronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making10.3390/math92127302227-7390https://doaj.org/article/95b0d53a10854ccfac3deab5cdf9998d2021-10-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/21/2730https://doaj.org/toc/2227-7390In this manuscript, we combine the notion of linear Diophantine fuzzy set (LDFS), uncertain linguistic set (ULS), and complex fuzzy set (CFS) to elaborate the notion of complex linear Diophantine uncertain linguistic set (CLDULS). CLDULS refers to truth, falsity, reference parameters, and their uncertain linguistic terms to handle problematic and challenging data in factual life impasses. By using the elaborated CLDULSs, some operational laws are also settled. Furthermore, by using the power Einstein (PE) aggregation operators based on CLDULS: the complex linear Diophantine uncertain linguistic PE averaging (CLDULPEA), complex linear Diophantine uncertain linguistic PE weighted averaging (CLDULPEWA), complex linear Diophantine uncertain linguistic PE Geometric (CLDULPEG), and complex linear Diophantine uncertain linguistic PE weighted geometric (CLDULPEWG) operators, and their useful results are elaborated with the help of some remarkable cases. Additionally, by utilizing the expounded works dependent on CLDULS, I propose a multi-attribute decision-making (MADM) issue. To decide the quality of the expounded works, some mathematical models are outlined. Finally, the incomparability and relative examination of the expounded approaches with the assistance of graphical articulations are evolved.Zeeshan AliTahir MahmoodGustavo Santos-GarcíaMDPI AGarticlecomplex linear Diophantine uncertain linguistic setspowered Einstein aggregation operatorsmulti-attribute decision-making methodsMathematicsQA1-939ENMathematics, Vol 9, Iss 2730, p 2730 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	complex linear Diophantine uncertain linguistic sets powered Einstein aggregation operators multi-attribute decision-making methods Mathematics QA1-939
spellingShingle	complex linear Diophantine uncertain linguistic sets powered Einstein aggregation operators multi-attribute decision-making methods Mathematics QA1-939 Zeeshan Ali Tahir Mahmood Gustavo Santos-García Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
description	In this manuscript, we combine the notion of linear Diophantine fuzzy set (LDFS), uncertain linguistic set (ULS), and complex fuzzy set (CFS) to elaborate the notion of complex linear Diophantine uncertain linguistic set (CLDULS). CLDULS refers to truth, falsity, reference parameters, and their uncertain linguistic terms to handle problematic and challenging data in factual life impasses. By using the elaborated CLDULSs, some operational laws are also settled. Furthermore, by using the power Einstein (PE) aggregation operators based on CLDULS: the complex linear Diophantine uncertain linguistic PE averaging (CLDULPEA), complex linear Diophantine uncertain linguistic PE weighted averaging (CLDULPEWA), complex linear Diophantine uncertain linguistic PE Geometric (CLDULPEG), and complex linear Diophantine uncertain linguistic PE weighted geometric (CLDULPEWG) operators, and their useful results are elaborated with the help of some remarkable cases. Additionally, by utilizing the expounded works dependent on CLDULS, I propose a multi-attribute decision-making (MADM) issue. To decide the quality of the expounded works, some mathematical models are outlined. Finally, the incomparability and relative examination of the expounded approaches with the assistance of graphical articulations are evolved.
format	article
author	Zeeshan Ali Tahir Mahmood Gustavo Santos-García
author_facet	Zeeshan Ali Tahir Mahmood Gustavo Santos-García
author_sort	Zeeshan Ali
title	Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
title_short	Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
title_full	Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
title_fullStr	Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
title_full_unstemmed	Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making
title_sort	heronian mean operators based on novel complex linear diophantine uncertain linguistic variables and their applications in multi-attribute decision making
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/95b0d53a10854ccfac3deab5cdf9998d
work_keys_str_mv	AT zeeshanali heronianmeanoperatorsbasedonnovelcomplexlineardiophantineuncertainlinguisticvariablesandtheirapplicationsinmultiattributedecisionmaking AT tahirmahmood heronianmeanoperatorsbasedonnovelcomplexlineardiophantineuncertainlinguisticvariablesandtheirapplicationsinmultiattributedecisionmaking AT gustavosantosgarcia heronianmeanoperatorsbasedonnovelcomplexlineardiophantineuncertainlinguisticvariablesandtheirapplicationsinmultiattributedecisionmaking
_version_	1718431900548202496

Heronian Mean Operators Based on Novel Complex Linear Diophantine Uncertain Linguistic Variables and Their Applications in Multi-Attribute Decision Making

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