A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory...

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Autores principales:	Saeid Jafarzadeh Ghoushchi, Elnaz Osgooei, Gholamreza Haseli, Hana Tomaskova
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	modified triangular fuzzy numbers fuzzy decision variables fully fuzzy linear programming alpha-cut theory Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/a9148a76529e4bcfacf68fbd162aaddf
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spelling	oai:doaj.org-article:a9148a76529e4bcfacf68fbd162aaddf2021-11-25T18:17:20ZA Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers10.3390/math92229372227-7390https://doaj.org/article/a9148a76529e4bcfacf68fbd162aaddf2021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2937https://doaj.org/toc/2227-7390Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.Saeid Jafarzadeh GhoushchiElnaz OsgooeiGholamreza HaseliHana TomaskovaMDPI AGarticlemodified triangular fuzzy numbersfuzzy decision variablesfully fuzzy linear programmingalpha-cut theoryMathematicsQA1-939ENMathematics, Vol 9, Iss 2937, p 2937 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	modified triangular fuzzy numbers fuzzy decision variables fully fuzzy linear programming alpha-cut theory Mathematics QA1-939
spellingShingle	modified triangular fuzzy numbers fuzzy decision variables fully fuzzy linear programming alpha-cut theory Mathematics QA1-939 Saeid Jafarzadeh Ghoushchi Elnaz Osgooei Gholamreza Haseli Hana Tomaskova A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
description	Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.
format	article
author	Saeid Jafarzadeh Ghoushchi Elnaz Osgooei Gholamreza Haseli Hana Tomaskova
author_facet	Saeid Jafarzadeh Ghoushchi Elnaz Osgooei Gholamreza Haseli Hana Tomaskova
author_sort	Saeid Jafarzadeh Ghoushchi
title	A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
title_short	A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
title_full	A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
title_fullStr	A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
title_full_unstemmed	A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers
title_sort	novel approach to solve fully fuzzy linear programming problems with modified triangular fuzzy numbers
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/a9148a76529e4bcfacf68fbd162aaddf
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A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

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