A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment

In this paper, a solution procedure is proposed to solve Fully Fuzzy Linear Fractional Programming (FFLFP) problem where all the variables and parameters are triangular fuzzy numbers. Here, FFLFP problem transformed into an equivalent Multi- Objective Linear Fractional Programming (MOLFP) problem. T...

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Main Authors: S.K. Das, T. Mandal
Format: Article
Language:English
Published: Ayandegan Institute of Higher Education, 2017-11-01
Series:International Journal of Research in Industrial Engineering
Subjects:
Online Access:http://www.riejournal.com/article_49738_61ee1f455b712082fbc214ebf12fe425.pdf
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author S.K. Das
T. Mandal
author_facet S.K. Das
T. Mandal
author_sort S.K. Das
collection DOAJ
description In this paper, a solution procedure is proposed to solve Fully Fuzzy Linear Fractional Programming (FFLFP) problem where all the variables and parameters are triangular fuzzy numbers. Here, FFLFP problem transformed into an equivalent Multi- Objective Linear Fractional Programming (MOLFP) problem. Then MOLFP converted into an equivalent multi objective linear programming problem by using mathematical programming approach. The proposed solution illustrated through numerical examples and compared with existing methods.
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spelling doaj.art-65881edeb173477cbee6b856f6b715ba2022-12-21T22:28:45ZengAyandegan Institute of Higher Education,International Journal of Research in Industrial Engineering2783-13372717-29372017-11-016320221310.22105/riej.2017.92950.100249738A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy EnvironmentS.K. Das0T. Mandal1Department of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014,IndiaDepartment of Mathematics, National Institute of Technology Jamshedpur, Jharkhand 831014,IndiaIn this paper, a solution procedure is proposed to solve Fully Fuzzy Linear Fractional Programming (FFLFP) problem where all the variables and parameters are triangular fuzzy numbers. Here, FFLFP problem transformed into an equivalent Multi- Objective Linear Fractional Programming (MOLFP) problem. Then MOLFP converted into an equivalent multi objective linear programming problem by using mathematical programming approach. The proposed solution illustrated through numerical examples and compared with existing methods.http://www.riejournal.com/article_49738_61ee1f455b712082fbc214ebf12fe425.pdflinear programming problemtriangular fuzzy numbersfuzzy mathematical programming
spellingShingle S.K. Das
T. Mandal
A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment
International Journal of Research in Industrial Engineering
linear programming problem
triangular fuzzy numbers
fuzzy mathematical programming
title A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment
title_full A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment
title_fullStr A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment
title_full_unstemmed A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment
title_short A MOLFP Method for Solving Linear Fractional Programming Under Fuzzy Environment
title_sort molfp method for solving linear fractional programming under fuzzy environment
topic linear programming problem
triangular fuzzy numbers
fuzzy mathematical programming
url http://www.riejournal.com/article_49738_61ee1f455b712082fbc214ebf12fe425.pdf
work_keys_str_mv AT skdas amolfpmethodforsolvinglinearfractionalprogrammingunderfuzzyenvironment
AT tmandal amolfpmethodforsolvinglinearfractionalprogrammingunderfuzzyenvironment
AT skdas molfpmethodforsolvinglinearfractionalprogrammingunderfuzzyenvironment
AT tmandal molfpmethodforsolvinglinearfractionalprogrammingunderfuzzyenvironment