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Article type: Research Article
Authors: Gomathi, S.V.a; * | Jayalakshmi, M.b
Affiliations: [a] Department of Mathematics, SASTRA Deemed University, Thanjavur, Tamilnadu, India | [b] Department of Mathematics, VIT Deemed University, Vellore, Tamilnadu, India
Correspondence: [*] Corresponding author. S.V. Gomathi, Assistant Professor, Department of Mathematics, SASTRA Deemed University, Thanjavur, Tamilnadu, India. E-mail: [email protected].
Abstract: This article focuses on an area of nonlinear programming problems known as linear fractional programming problems with multiple objectives. When tackling real-world linear fractional optimization problems, ambiguity and uncertainty in decision-making are inherent. This research aims to present a simple and computationally quick approach to solving multiple objective linear fractional programming problems with all decision variables and parameters described in terms of crisp. The proposed solution algorithm is based primarily on the fuzzy-based technique, and a membership function strategy. To resolve the multi-objective linear fractional programming problem, first consider the problem as a single objective function and along with the fuzzy programming model obtain the optimal solution using LINGO software. LINGO is a software application primarily used for solving linear, nonlinear, and integer optimization problems Moreover, an e-education setup problem demonstrates the steps of the proposed method.
Keywords: Linear fractional programming problem, multi-objective linear fractional programming, fuzzy mathematical programming, hyperbolic membership function
DOI: 10.3233/JIFS-234286
Journal: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-8, 2024
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