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

Author

Listed:
  • Hamiden Abd El-Wahed Khalifa
  • A. Akilbasha
  • Tarishi Baranwal

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.

Suggested Citation

  • Hamiden Abd El-Wahed Khalifa & A. Akilbasha & Tarishi Baranwal, 2024. "Interactive fuzzy goal programming approach for solving possibilistic multi-objective minimum cost flow problems," International Journal of Business Performance and Supply Chain Modelling, Inderscience Enterprises Ltd, vol. 15(1), pages 91-108.
    • Handle: RePEc:ids:ijbpsc:v:15:y:2024:i:1:p:91-108
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