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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Format: | Article |
Language: | English |
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Ayandegan Institute of Higher Education,
2017-11-01
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Series: | International Journal of Research in Industrial Engineering |
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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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format | Article |
id | doaj.art-65881edeb173477cbee6b856f6b715ba |
institution | Directory Open Access Journal |
issn | 2783-1337 2717-2937 |
language | English |
last_indexed | 2024-12-16T14:11:32Z |
publishDate | 2017-11-01 |
publisher | Ayandegan Institute of Higher Education, |
record_format | Article |
series | International Journal of Research in Industrial Engineering |
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 |