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Interval-valued q-rung orthopair fuzzy Aczel–Alsina operations-based Bonferroni mean aggregation operators and their applications

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Abstract

As an extension of interval-valued intuitionistic fuzzy sets, the concept of interval-valued q-rung orthopair fuzzy (IVq-ROF) sets (IVq-ROFSs) represents an efficient tool for handling uncertain information in a more expansive context, owing to its utilization of the adjustable parameter \(\textit{q}\ge 1\). In the present article, we devise Aczel–Alsina (AA) operations to IVq-ROF numbers, employing the AA t-norm and t-conorm, and subsequently establish their inherent properties. Based on these operations, we originate a series of aggregation operators, including IVq-ROF AA weighted averaging (IVq-ROFAAWA) operator, IVq-ROF AA ordered weighted averaging (IVq-ROFAAOWA) operator, IVq-ROF AA hybrid averaging (IVq-ROFAAHA) operator, IVq-ROF AA weighted geometric (IVq-ROFAAWG) operator, IVq-ROF AA ordered weighted geometric (IVq-ROFAAOWG) operator, and IVq-ROF AA hybrid geometric (IVq-ROFAAHG) operator. Some required properties of the formulated operators are verified, and their interrelatedness is shown exhaustively. Meanwhile, we formulate the IVq-ROF weighted Bonferroni mean (IVq-ROFWBM) operator by leveraging AA operations, considering that the Bonferroni mean operator can capture the interrelationships among the input arguments. Based on these operators, a decision-making approach is framed for ranking the alternatives in the IVq-ROF environment. Further, we present an illustrative example concerning the distortion of the 2022 monsoon flood to showcase its practical applicability and to examine how various parameters impact the outcomes. Finally, the merits and originality of the presented methodology are underscored through a comprehensive comparison with prevailing approaches.

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Authors and Affiliations

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

    Jawad Ali & Wajid Rasool

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  1. Jawad Ali
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  2. Wajid Rasool
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Correspondence to Jawad Ali.

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Communicated by Junsheng Qiao.

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Ali, J., Rasool, W. Interval-valued q-rung orthopair fuzzy Aczel–Alsina operations-based Bonferroni mean aggregation operators and their applications. Comp. Appl. Math. 43, 7 (2024). https://doi.org/10.1007/s40314-023-02511-7

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