Optimization of fuzzy linear fractional programming problem with fuzzy numbers

In this paper, we consider a Fuzzy Linear Fractional Programming (FLFP) problem under the condition that the objective function and the values of the right-hand side are represented by symmetric trapezoidal fuzzy numbers while the left-hand side constraints are represented by real numbers. Decision...

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Main Author: Sapan Das
Format: Article
Language:English
Published: REA Press 2021-03-01
Series:Big Data and Computing Visions
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Online Access:https://www.bidacv.com/article_142084_810f8e0386698da804a7e764de69ccbb.pdf
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author Sapan Das
author_facet Sapan Das
author_sort Sapan Das
collection DOAJ
description In this paper, we consider a Fuzzy Linear Fractional Programming (FLFP) problem under the condition that the objective function and the values of the right-hand side are represented by symmetric trapezoidal fuzzy numbers while the left-hand side constraints are represented by real numbers. Decision variables are characterized by trapezoidal fuzzy numbers and non-negative numbers. Utilizing the ranking function and computation of trapezoidal fuzzy numbers, the FLFP problem is transformed into a Crisp Linear Fractional Programming (CLFP) problem. This paper outfits another idea for diminishing the computational complexity, in any case without losing its viability crisp LFP problem. A modified possibility programming problem, Swarup is utilized to solve this program. Lead from real-life problems, a couple of mathematical models is considered to survey the legitimacy, usefulness and applicability of our method. Finally, some mathematical analysis along with one case study is given to show the novel strategies are superior to the current techniques.
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institution Kabale University
issn 2783-4956
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publishDate 2021-03-01
publisher REA Press
record_format Article
series Big Data and Computing Visions
spelling doaj-art-1e8e966249e547b991a7173bb9d7d9b62025-01-30T12:21:07ZengREA PressBig Data and Computing Visions2783-49562821-014X2021-03-0111303510.22105/bdcv.2021.142084142084Optimization of fuzzy linear fractional programming problem with fuzzy numbersSapan Das0Department of Revenue, Ministry of Finance, New Delhi, India.In this paper, we consider a Fuzzy Linear Fractional Programming (FLFP) problem under the condition that the objective function and the values of the right-hand side are represented by symmetric trapezoidal fuzzy numbers while the left-hand side constraints are represented by real numbers. Decision variables are characterized by trapezoidal fuzzy numbers and non-negative numbers. Utilizing the ranking function and computation of trapezoidal fuzzy numbers, the FLFP problem is transformed into a Crisp Linear Fractional Programming (CLFP) problem. This paper outfits another idea for diminishing the computational complexity, in any case without losing its viability crisp LFP problem. A modified possibility programming problem, Swarup is utilized to solve this program. Lead from real-life problems, a couple of mathematical models is considered to survey the legitimacy, usefulness and applicability of our method. Finally, some mathematical analysis along with one case study is given to show the novel strategies are superior to the current techniques.https://www.bidacv.com/article_142084_810f8e0386698da804a7e764de69ccbb.pdffuzzy linear fractional programming (flfp)rankingsimplex methodsymmetric trapezoidal number
spellingShingle Sapan Das
Optimization of fuzzy linear fractional programming problem with fuzzy numbers
Big Data and Computing Visions
fuzzy linear fractional programming (flfp)
ranking
simplex method
symmetric trapezoidal number
title Optimization of fuzzy linear fractional programming problem with fuzzy numbers
title_full Optimization of fuzzy linear fractional programming problem with fuzzy numbers
title_fullStr Optimization of fuzzy linear fractional programming problem with fuzzy numbers
title_full_unstemmed Optimization of fuzzy linear fractional programming problem with fuzzy numbers
title_short Optimization of fuzzy linear fractional programming problem with fuzzy numbers
title_sort optimization of fuzzy linear fractional programming problem with fuzzy numbers
topic fuzzy linear fractional programming (flfp)
ranking
simplex method
symmetric trapezoidal number
url https://www.bidacv.com/article_142084_810f8e0386698da804a7e764de69ccbb.pdf
work_keys_str_mv AT sapandas optimizationoffuzzylinearfractionalprogrammingproblemwithfuzzynumbers