Interactive fuzzy goal programming approach for solving possibilistic multi-objective minimum cost flow problems
by Hamiden Abd El-Wahed Khalifa; A. Akilbasha; Tarishi Baranwal
International Journal of Business Performance and Supply Chain Modelling (IJBPSCM), Vol. 15, No. 1, 2024

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.

Online publication date: Mon, 15-Jul-2024

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