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Research Article | Open Access

A simplified approach to solve hesitant fuzzy linear programming problem with hesitant decision variables and right-hand-side values

Raina Ahuja1Meraj Ali Khan2Parul Tomar3( )Amit Kumar1S. S. Appadoo4Ibrahim Al-Dayel2
Department of Mathematics, Thapar Institute of Engineering & Technology (Deemed to be University), Patiala, Punjab, India
Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh, Saudi Arabia
Department of Mathematics, Marwadi University, Rajkot, Gujrat, India
Department of Supply Chain Management, Asper School of Business, University of Manitoba, Winnipeg, Canada
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Abstract

An approach (a generalization of the classical simplex algorithm) is proposed to solve hesitant fuzzy linear programming problems (HFLPPs). In this paper, we pointed out that much computational effort is required to solve HFLPPs by the existing approach. Moreover, to reduce the computational efforts, an alternative approach is proposed to solve HFLPPs. Furthermore, some other advantages of the proposed alternative approach (PrAlApp) over the existing approach are discussed. Finally, an existing HFLPP is solved by the PrAlApp.

CLC number: 03E72, 94D05, 90B50

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AIMS Mathematics
Pages 18716-18730

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Cite this article:
Ahuja R, Khan MA, Tomar P, et al. A simplified approach to solve hesitant fuzzy linear programming problem with hesitant decision variables and right-hand-side values. AIMS Mathematics, 2025, 10(8): 18716-18730. https://doi.org/10.3934/math.2025836

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Received: 15 April 2025
Revised: 12 August 2025
Accepted: 13 August 2025
Published: 15 August 2025
©2025 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)