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Fuzzy goal programming approach for solving linear fractional programming problems with fuzzy conditions

Publish place: Journal of Fuzzy Extension & Applications، Vol: 5، Issue: 3
Publish Year: 1403
Type: Journal paper
Language: English
View: 80

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Link to this Paper:
https://civilica.com/doc/2068722

Document National Code:

JR_JFEA-5-3_002

Index date: 8 September 2024

Fuzzy goal programming approach for solving linear fractional programming problems with fuzzy conditions abstract

Predicting the exact outcome of a real-life problem, which may occur in various fields like the industrial or healthcare sector, is challenging. Due to high information uncertainty and complicated factors influencing the industrial sector, traditional data-driven prediction approaches can hardly reflect real changes in practical situations. Fuzzy programming is a powerful prediction reasoning and risk assessment model for uncertain environments. This article mainly explores and applies a modified form of fuzzy programming, namely the Fuzzy Linear Fractional Programming Problem (FLFPP), having the coefficients of the objectives and constraints as Triangular Fuzzy Numbers (TFNs). The FLFPP is converted into an equivalent crisp Multi-Objective Linear Fractional Programming Problem (MOLFPP) and solved individually to associate an aspiration level. Then, by applying the Fuzzy Goal Programming (FGP) technique, the maximum degree of each membership goal is obtained by minimizing the negative deviational variables. We carry out two industrial application simulations in a hypothetical industrial scenario. Our study shows that the proposed model is practical and applicable to the uncertain practical environment to realize the prediction, and the results obtained are compared with those of the existing methods.

Fuzzy goal programming approach for solving linear fractional programming problems with fuzzy conditions Keywords:

Triangular fuzzy number , multi-objective linear fractional programming , ranking function , fuzzy goal programming

Fuzzy goal programming approach for solving linear fractional programming problems with fuzzy conditions authors

Rajeev Prasad

Department of Mathematics, GLA University, Mathura.

Indrani Maiti

Department of Mathematics, National Institute of Technology, Jamshedpur, India-۸۳۱۰۱۴.

Sapan Das

Department of Revenue, Ministry of Finance, Govt. of India.

Surapati Pramanik

Department of Mathematics, Nandalal Ghosh B.T. College, Panpur, P.O.-Naraynpur, North ۲۴ Paraganas, India-۷۴۳۱۲۶.

Tarni Mandal

Department of Mathematics, National Institute of Technology, Jamshedpur, India-۸۳۱۰۱۴.

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