Single-Valued Neutrosophic ARAS Based on Multi-Criteria Group Decision-Making for a School Selection

Abstract

Education is a crucial aspect in determining the progress of a nation. However, selecting a good school is a challenge. Therefore, the chapter offers a solution by applying the theories of single-valued neutrosophic numbers (S-VNNs) and the additive ratio assessment (ARAS) method for a school evaluation. This performance evaluation is viewed as a process involving a committee of school performance judgments and a list of senior high schools. The committee gives professional assessments of the school's performance by using S-VNNs. To conquer this, the chapter first presents the basic theory of S-VNNs with some of their mathematical operations and their two Einstein aggregation operators. The chapter then proposes an improved ARAS method based on S-VNNs to handle a multi-criteria group decision-making problem. Next, the chapter demonstrates an illustrative example using the improved ARAS method to select the favorite school. Finally, comparison analysis with other decision-making methods is presented to prove the feasibility and capability of the proposed ARAS method.