Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers

This paper is introducing a new concept of triangular linear Diophantine fuzzy numbers (TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. At the end, we formulate the linear...

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Autores principales:	Naveed Khan, Naveed Yaqoob, Mudassir Shams, Yaé Ulrich Gaba, Muhammad Riaz
Formato:	article
Lenguaje:	EN
Publicado:	Hindawi Limited 2021
Materias:	Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/5de105ac5f354373b807de85b05b68db
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spelling	oai:doaj.org-article:5de105ac5f354373b807de85b05b68db2021-11-08T02:37:10ZSolution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers2314-888810.1155/2021/8475863https://doaj.org/article/5de105ac5f354373b807de85b05b68db2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8475863https://doaj.org/toc/2314-8888This paper is introducing a new concept of triangular linear Diophantine fuzzy numbers (TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. At the end, we formulate the linear and quadratic equations of the types A+X=B,A·X+B=C, and A·X2+B·X+C=D where the elements A,B,C, and D are TLDFNs. We provide a procedure for the solution of these equations using s,t,u,v-cut and also provide the examples.Naveed KhanNaveed YaqoobMudassir ShamsYaé Ulrich GabaMuhammad RiazHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Naveed Khan Naveed Yaqoob Mudassir Shams Yaé Ulrich Gaba Muhammad Riaz Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
description	This paper is introducing a new concept of triangular linear Diophantine fuzzy numbers (TLDFNs) in a generic way. We first introduce the concept of TLDFNs and then study the arithmetic operations on these numbers. We find a method for the ranking of these TLDFNs. At the end, we formulate the linear and quadratic equations of the types A+X=B,A·X+B=C, and A·X2+B·X+C=D where the elements A,B,C, and D are TLDFNs. We provide a procedure for the solution of these equations using s,t,u,v-cut and also provide the examples.
format	article
author	Naveed Khan Naveed Yaqoob Mudassir Shams Yaé Ulrich Gaba Muhammad Riaz
author_facet	Naveed Khan Naveed Yaqoob Mudassir Shams Yaé Ulrich Gaba Muhammad Riaz
author_sort	Naveed Khan
title	Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
title_short	Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
title_full	Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
title_fullStr	Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
title_full_unstemmed	Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers
title_sort	solution of linear and quadratic equations based on triangular linear diophantine fuzzy numbers
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/5de105ac5f354373b807de85b05b68db
work_keys_str_mv	AT naveedkhan solutionoflinearandquadraticequationsbasedontriangularlineardiophantinefuzzynumbers AT naveedyaqoob solutionoflinearandquadraticequationsbasedontriangularlineardiophantinefuzzynumbers AT mudassirshams solutionoflinearandquadraticequationsbasedontriangularlineardiophantinefuzzynumbers AT yaeulrichgaba solutionoflinearandquadraticequationsbasedontriangularlineardiophantinefuzzynumbers AT muhammadriaz solutionoflinearandquadraticequationsbasedontriangularlineardiophantinefuzzynumbers
_version_	1718443005302538240

Solution of Linear and Quadratic Equations Based on Triangular Linear Diophantine Fuzzy Numbers

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