Novel EDAS Methodology Based on Single‐Valued Neutrosophic Aczel‐Alsina Aggregation Information and Their Application in Complex Decision‐Making

Abstract

In this article, we proposed an extended EDAS (Evaluation based on Distance from Average Solution) method based on the single-valued neutrosophic (SVN) Aczel-Alsina aggregation information. The fundamental concept of a single-valued neutrosophic (SVN) set is a universal mathematical tool for effectively managing uncertain and imprecise information. To accomplish our goal, we first extend the Aczel-Alsina t-norm and t-conorm to SVN scenarios and introduce a few new SVN operations on which we construct novel SVN aggregation operators. Furthermore, a decision support strategy is built in the SVN framework using the EDAS methodology and the suggested Aczel-Alsina aggregation operators. This method computes the aggregated outcomes of each investigated alternative, as well as their score values. Finally, to demonstrate the functionality of the developed SVN- EDAS, an application has been made related to the role of commercial banks in providing loans to their customers, which has recently affected our world, and the results are compared with other existing methods. The results suggest that the proposed method may overcome the inadequacies of the existing decision method’s lack of decision flexibility by using SVN aggregation operators.

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

“…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.…”

“…4. Ashraf et al [29] examined the Aczel-Alsina AOs for SVNSs, which are very restricted and limited because of their structure, where the theory of SVNSs is the particular case of the derived theory. 5.…”

“…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.…”