A goal programming approach for multi-objective linear fractional programming problem with LR possibilistic variables

Hamiden Abd El- Wahed Khalifa () and Pavan Kumar
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Hamiden Abd El- Wahed Khalifa: Cairo University

International Journal of System Assurance Engineering and Management, 2022, vol. 13, issue 4, No 37, 2053-2061

Abstract: Abstract This article presents a fuzzy multi-objective linear fractional programming (FMOLFP) problem. The goal programming (GP) approach is used to solve the proposed problem. The $$LR$$ LR (Left and Right) possibilistic variables are addressed to the suggested the fuzzy multi-objective linear fractional programming (FMOLFP) model to deal the uncertainty of the model parameters. An auxiliary model in which objective function is the distance between the $$p -$$ p - ary $$\alpha -$$ α - optimal value restriction and $$p -$$ p - ary fuzzy objective function is proposed. In the last, one solved example is given to illustrate and to support the validity of the suggested approach.

Keywords: Fuzzy number; Fractional programming; Possibilistic variables; Possibility distribution; Goal programming; Optimal solution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13198-022-01618-0

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