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

Single-Valued Neutrosophic ARAS Based on Multi-Criteria Group Decision-Making for a School Selection
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Author(s): Irvanizam Irvanizam (Universitas Syiah Kuala, Indonesia), Novi Zahara (Madrasah Aliyah Swasta Ulumul Qur'an, Indonesia)and Marzuki Marzuki (Universitas Syiah Kuala, Indonesia)
Copyright: 2025
Pages: 26
Source title: Multi-Criteria Decision Making Models and Techniques: Neutrosophic Approaches
Source Author(s)/Editor(s): Mohamed Abdel-Basset (Zagazig University, Egypt), Abduallah Gamal (Zagazig University, Egypt)and Florentin Smarandache (University of New Mexico, USA)
DOI: 10.4018/979-8-3693-2085-3.ch010

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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.

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