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Research Article | Open Access

A fuzzy based solution to multiple objective LPP

M Junaid BashaS Nandhini( )
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, Tamil Nadu 632014, India
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Abstract

This study presents a Fuzzy Multiple Objective Linear Programming Problem (FMOLPP) method to solve the Linear Programming Problem (LPP). Initially Multiple Objective Linear Programming Problem (MOLPP) is solved using Chandra Sen's approach along with various types of mean approaches. Furthermore, FMOLPP is solved using Chandra Sen's approach and various categories of fuzzy mean techniques. The simplex form is used to solve the LPP, where the three-tuple symmetric triangular fuzzy number with the constraints of the fuzzy objective function is considered. We have presented a comparative study of optimum values of MOLPP with optimum values of FMOLPP, to show the significance of our proposed method.

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AIMS Mathematics
Pages 7714-7730

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Cite this article:
Junaid Basha M, Nandhini S. A fuzzy based solution to multiple objective LPP. AIMS Mathematics, 2023, 8(4): 7714-7730. https://doi.org/10.3934/math.2023387

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Received: 02 October 2022
Revised: 22 December 2022
Accepted: 26 December 2022
Published: 15 April 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)