Aczel-Alsina Aggregation Operators Based on Complex Single-valued Neutrosophic Information and Their Application in Decision-Making Problems

Authors

  • Areeba Naseem Department of Mathematics, Riphah International University (Lahore Campus), 54000, Lahore, Pakistan
  • Maria Akram Department of Mathematics, Riphah International University (Lahore Campus), 54000, Lahore, Pakistan
  • Kifayat Ullah Department of Mathematics, Riphah International University (Lahore Campus), 54000, Lahore, Pakistan https://orcid.org/0000-0002-3350-6652
  • Zeeshan Ali Department of Mathematics & Statistics, International Islamic University Islamabad, 44000, Islamabad, Pakistan https://orcid.org/0000-0002-6745-9567

DOI:

https://doi.org/10.31181/dma11202312

Keywords:

Complex single-valued neutrosophic sets, Aczel-Alsina aggregation operators, Decision-making methods

Abstract

To develop the theory of aggregation operators based on the Aczel-Alsina t-norm and t-conorm is a very challenging task for individuals, where the idea of Aczel-Alsina norms is the modified version of the algebraic norms. The main theme of this manuscript is to evaluate the Aczel-Alsina operational laws and Aczel-Alsina aggregation operators for complex single-valued neutrosophic (CSVN) information such as CSVN Aczel-Alsina weighted averaging (CSVNAAWA), CSVN Aczel-Alsina ordered weighted averaging (CSVNAAOWA), CSVN Aczel-Alsina hybrid averaging (CSVNAAHA), CSVN Aczel-Alsina weighted geometric (CSVNAAWG), CSVN Aczel-Alsina ordered weighted geometric (CSVNAAOWG), CSVN Aczel-Alsina hybrid geometric (CSVNAAHG) operators, idempotency, monotonicity, and boundedness. Additionally, in the presence of the above-derived operators, we illustrated a model of the MADM “multi-attribute decision-making” procedure for CSVN values. Finally, we employed various numerical examples to demonstrate the supremacy and efficiency of the discovered theory to compare it with various prevailing operators.

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Published

2023-08-10

How to Cite

Naseem, A., Akram, M., Ullah, K., & Ali, Z. (2023). Aczel-Alsina Aggregation Operators Based on Complex Single-valued Neutrosophic Information and Their Application in Decision-Making Problems. Decision Making Advances, 1(1), 86–114. https://doi.org/10.31181/dma11202312

Issue

Vol. 1 No. 1 (2023): Decision Making Advances

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