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Approaches to multi-attribute decision-making based on picture fuzzy Aczel–Alsina average aggregation operators

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Abstract

Picture fuzzy numbers (PFNs) are extremely reasonable to be utilized for delineating dubious or fuzzy data. In this article, we introduce the aggregation strategies of PFNs with assistance from Aczel–Alsina operations. We initially broaden the Aczel–Alsina t-norm and t-conorm to picture fuzzy (PF) situations and present a few new operations of PFNs; for example, Aczel–Alsina sum, Aczel–Alsina product, Aczel–Alsina scalar multiplication, and Aczel–Alsina exponentiation, in view of which we build up a few new PF aggregation operators; for instance, the PF Aczel–Alsina weighted average (PFAAWA) operator, PF Aczel–Alsina order weighted average (PFAAOWA) operator, and PF Aczel–Alsina hybrid average (PFAAHA) operator. We further build up various characteristics of those operators, keep several exceptional instances among themselves, and investigate the connections among such operators. Besides, we apply such operators to build up a methodology for managing multiple attribute decision-making (MADM) with PF data. A numerical example is stated to delineate the reasonableness, the viability of the created operators, and the approach. A comparative analysis is additionally introduced.

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Authors and Affiliations

  1. Department of Mathematics, Padima Janakalyan Banipith, Kukrakhupi, 721517, India

    Tapan Senapati

  2. School of Mathematics and Statistics, Southwest University, Chongqing, 400715, China

    Tapan Senapati

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  1. Tapan Senapati
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Communicated by Graçaliz Pereira Dimuro.

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Senapati, T. Approaches to multi-attribute decision-making based on picture fuzzy Aczel–Alsina average aggregation operators. Comp. Appl. Math. 41, 40 (2022). https://doi.org/10.1007/s40314-021-01742-w

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  • DOI: https://doi.org/10.1007/s40314-021-01742-w

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