Aczel-Alsina Weighted Aggregation Operators of Simplified Neutrosophic Numbers and Its Application in Multiple Attribute Decision Making

The simplified neutrosophic number (SNN) can represent uncertain, imprecise, incomplete, and inconsistent information that exists in scientific, technological, and engineering fields. Hence, it is a useful tool for describing truth, falsity, and indeterminacy information in multiple attribute decision-making (MADM) problems. To suit decision makers??? preference selection, the operational flexibility of aggregation operators shows its importance in dealing with the flexible decision-making problems in the SNN environment. To solve this problem, this paper develops the Aczel-Alsina aggregation operators of SNNs for MADM problems in view of the Aczel-Alsina operational flexibility. First, we define the Aczel-Alsina operations of SNNs. Then, the Aczel-Alsina aggregation operators of SNNs are presented based on the defined Aczel-Alsina operations of SNNs. Next, a MADM method is established using the proposed aggregation operators under the SNN environment. Lastly, an illustrative example about slope treatment scheme choices is provided to indicate the practicality and efficiency of the established method. By comparison with the existing relative MADM methods, the results show that the established MADM method can overcome the insufficiency of decision flexibility in the existing MADM methods and demonstrate the metric of flexible decision-making.

Automated summary

This paper develops the Aczel-Alsina aggregation operators of simplified neutrosophic numbers (SNNs) for multiple attribute decision-making (MADM) problems. The established MADM method overcomes the insufficiency of decision flexibility in existing methods and demonstrates flexible decision-making.