Multi-Criteria Decision-Making Using Aczel-Alsina Aggregation Operators in a Neutrosophic Cubic Set Environment

Multi-criteria decision-making (MCDM) is a vital tool for solving complex decision problems in various fields, including engineering, economics, and management. This paper proposes a novel MCDM approach by integrating the Aczel-Alsina operator with a neutrosophic cubic set (NCS) framework. The neutrosophic cubic set, which combines interval neutrosophic sets and single-valued neutrosophic sets, provides a more flexible and robust structure for handling uncertainty and ambiguity in decision-making. The Aczel-Alsina operator, known for its ability to aggregate information effectively, is utilized to develop new aggregation operators for neutrosophic cubic sets. The proposed method is applied to two practical examples—supplier selection and renewable energy project evaluation—to demonstrate its practicality and effectiveness. Numerical calculations and mathematical expressions are provided to illustrate the implementation of the method. The results show that the integration of the Aczel-Alsina operator with the neutrosophic cubic framework enhances the decision-making process by providing more accurate and reliable solutions.