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

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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.

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Acknowledgements

This research was financially supported by C.S.I.R. junior research fellowship, DST-Purse (Phase 2) in the Department of Mathematics, University of Kalyani. Their supports have been fully acknowledged.

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  1. Department of Mathematics, University of Kalyani, Kalyani, West Bengal, 741235, India

    Sayan Deb & Sahidul Islam

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  1. Sayan Deb
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Correspondence to Sayan Deb.

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Deb, S., Islam, S. A novel goal programming approach based on accuracy function of pythagorean fuzzy sets. OPSEARCH 61, 245–262 (2024). https://doi.org/10.1007/s12597-023-00686-5

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