Interactive fuzzy goal programming approach for solving possibilistic multi-objective minimum cost flow problems

Hamiden Abd El-Wahed Khalifa, A. Akilbasha and Tarishi Baranwal

International Journal of Business Performance and Supply Chain Modelling, 2024, vol. 15, issue 1, 91-108

Abstract: In this study, a multi-objective minimal cost flow with possibilistic objective function coefficients (Poss-MOMCF) is studied. Under using the α-cut set of the possibilistic variables, the Poss-MOMCF problem is converted into the corresponding (α-MOMCF) and hence into the (P-MOMCF) problem. A necessary and sufficient condition for investigating the α-possibly optimal solution is established. The α-parametric optimal compromise solution is obtained via an interactive fuzzy goal programming approach. The stability set of the first kind under the concept of α-possibly optimal solution is characterised and analysed without differentiability. The methodology is finally illustrated using a numerical example for the sake of the study.

Keywords: optimisation problem; minimum cost flow; multi-objective optimisation; possibilistic variables; fuzzy sets; fuzzy goal programming approach; α-possibly optimal solution; decision making and costs; compromise solution; parametric analysis. (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:ids:ijbpsc:v:15:y:2024:i:1:p:91-108

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