Aczel–Alsina Weighted Aggregation Operators of Neutrosophic Z-Numbers and Their Multiple Attribute Decision-Making Method

Ye, Jun; Du, Shigui; Rui, Yong

doi:10.1007/s40815-022-01289-w

Cited by 9 publications

(3 citation statements)

References 41 publications

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“…Furthermore, we concentrate to employ the comparison between proposed and various prevailing operators to show the effectiveness of the presented theory. For this, we choose the idea of Aczel-Alsina aggregation operators (AOs) for IFSs was exposed by Senapati et al [24], Sarfraz et al [25] derived the prioritized AOs for IFSs, Senapati et al [26] presented the Aczel-Alsina geometric AOs for IFSs, Ye et al [27] derived the Aczel-Alsina weighted AOs for neutrosophic Z-number, Mahmood et al [28] exposed the Aczel-Alsina AOs for CIFSs, Ashraf et al [29] examined the Aczel-Alsina AOs for SVNSs, and Senapati et al [30] derived the power Aczel-Alsina AOs for IFSs. But the above-described theories have a lot of limitations and due to these limitations, experts have failed to evaluate our data with the help of the existing information.…”

Section: Comparative Analysismentioning

confidence: 99%

“…2. Ye et al [27] derived the Aczel-Alsina weighted AOs for neutrosophic Z-number, which are very restricted and limited because of their structure, where the theory of neutrosophic Znumber is the particular case of the derived theory. 3.…”

Section: Comparative Analysismentioning

confidence: 99%

“…Aczel and Alsina [23] derived the major concept of Aczel-Alsina t-norm and t-conorm which is the modified form of algebraic norms. Furthermore, Aczel-Alsina aggregation operators (AOs) for IFSs were exposed by Senapati et al [24], Sarfraz et al [25] derived the prioritized AOs for IFSs, Senapati et al [26] presented the Aczel-Alsina geometric AOs for IFSs, Ye et al [27] derived the Aczel-Alsina weighted AOs for neutrosophic Z-number, Mahmood et al [28] exposed the Aczel-Alsina AOs for CIFSs, Ashraf et al [29] examined the Aczel-Alsina AOs for SVNSs, and Senapati et al [30] derived the power Aczel-Alsina AOs for IFSs. Inspired by the above theory, deriving the theory of Aczel-Alsina AOs for CSVNS is also very complicated.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2023

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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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