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

Decision Making Advances Pub Date : 2023-08-10 DOI:10.31181/dma11202312

Areeba Naseem, M. Akram, K. Ullah, Zeeshan Ali

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引用次数: 7

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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基于复杂单值中性信息的Aczel-Alsina聚合算子及其在决策问题中的应用

基于Aczel-Alsina t-范数和t-保形的聚合算子理论的发展对个体来说是一项非常具有挑战性的任务，其中Aczel-Alsina范数的思想是代数范数的修改版本。本文的主要主题是评估复杂单值中性(CSVN)信息的Aczel-Alsina运算定律和Aczel-Alsina聚合算子，如CSVN Aczel-Alsina加权平均(CSVNAAWA)、CSVN Aczel-Alsina有序加权平均(CSVNAAOWA)、CSVN Aczel-Alsina混合平均(CSVNAAHA)、CSVN Aczel-Alsina加权几何(CSVNAAWG)、CSVN Aczel-Alsina有序加权几何(CSVNAAOWG)、Aczel-Alsina混合几何(CSVNAAHG)算子，幂等性，单调性和有界性。此外，在上述推导算子存在的情况下，我们给出了CSVN值的MADM“多属性决策”过程模型。最后，我们用各种数值例子来证明所发现的理论的优越性和有效性，并将其与各种流行的算子进行比较。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Decision Making Advances

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