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A novel goal programming approach based on accuracy function of pythagorean fuzzy sets

Author

Listed:
  • Sayan Deb

    (University of Kalyani)

  • Sahidul Islam

    (University of Kalyani)

Abstract

Goal programming (GP) is a well-established optimization methodology used to solve multi-objective problems. This paper outlines a novel goal programming approach that aims to improve the effectiveness of the traditional intuitionistic goal programming method. The proposed approach incorporates the concept of pythagorean fuzzy logic. Accuracy function of the pythagorean fuzzy sets has been used to develop the novel goal programming approach. Furthermore, a convergence criterion for this method has also been provided. Another theorem has also been proved to show that the traditional IFGP method fails to optimize many problems. The approach is tested on a case study of a supply chain management problem, and the results show that the proposed approach outperforms the traditional intuitionistic goal programming method in terms of effectiveness.

Suggested Citation

  • Sayan Deb & Sahidul Islam, 2024. "A novel goal programming approach based on accuracy function of pythagorean fuzzy sets," OPSEARCH, Springer;Operational Research Society of India, vol. 61(1), pages 245-262, March.
    • Handle: RePEc:spr:opsear:v:61:y:2024:i:1:d:10.1007_s12597-023-00686-5
    DOI: 10.1007/s12597-023-00686-5
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    References listed on IDEAS

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    1. R. E. Bellman & L. A. Zadeh, 1970. "Decision-Making in a Fuzzy Environment," Management Science, INFORMS, vol. 17(4), pages 141-164, December.
    2. Kailash Lachhwani, 2020. "On multi-level quadratic fractional programming problem with modified fuzzy goal programming approach," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(1), pages 135-156.
    3. Mula, Josefa & Peidro, David & Díaz-Madroñero, Manuel & Vicens, Eduardo, 2010. "Mathematical programming models for supply chain production and transport planning," European Journal of Operational Research, Elsevier, vol. 204(3), pages 377-390, August.
    4. Talluri, Srinivas & Baker, R. C., 2002. "A multi-phase mathematical programming approach for effective supply chain design," European Journal of Operational Research, Elsevier, vol. 141(3), pages 544-558, September.
    5. J. Jayabharathiraj, 2019. "Goal programming model for predicting the parameters involved in growth of cancer cells," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 34(3), pages 450-465.
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