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p,q-Quasirung orthopair fuzzy multi-criteria group decision-making algorithm based on generalized Dombi aggregation operators

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Abstract

The p,q-quasirung orthopair fuzzy (p,q-ROF) sets offer a superior approach to describing fuzzy and uncertain information compared to q-rung orthopair fuzzy sets. This paper first introduces generalized Dombi operational laws for p,q-ROF numbers. Utilizing these laws, we develop the p,q-ROF generalized Dombi weighted average (p,q-ROFGDWA) operator, the p,q-ROF generalized Dombi weighted geometric (p,q-ROFGDWG) operator, and their ordered weighted forms. We thoroughly examine the desirable properties and special cases of these new aggregation operators. Subsequently, we devise a multiple-criteria group decision-making method based on the p,q-ROFGDWA and p,q-ROFGDWG operators. Also an example regarding the selection of infectious medical waste treatment technology in Lahore, Pakistan is provided to exemplify the practicality and effectiveness of the developed model. The obtained results are then compared with other relevant methods, highlighting the efficacy and authenticity of the propound approach. Additionally, sensitivity analysis is performed to verify the suggested method’s stability. The findings indicate that the framed approach delivers robust and credible results for determining the ideal healthcare waste treatment technology.

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Authors and Affiliations

  1. Institute of Numerical Sciences, Kohat University of Science and Technology, Kohat, KPK, Pakistan

    Jawad Ali & Zahid Mehmood

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  1. Jawad Ali
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  2. Zahid Mehmood
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Correspondence to Jawad Ali.

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Ali, J., Mehmood, Z. p,q-Quasirung orthopair fuzzy multi-criteria group decision-making algorithm based on generalized Dombi aggregation operators. J. Appl. Math. Comput. 71, 69–102 (2025). https://doi.org/10.1007/s12190-024-02227-9

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  • DOI: https://doi.org/10.1007/s12190-024-02227-9

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