Neutrosophic Algebraic Structures for Precise Uncertainty Quantification in Outcome-Based Education Systems: A Rigorous Case Study Analysis

Authors

Mona Gharib, Department of Mathematics, Faculty of Science, Zagazig University, 44519 Zagazig, EgyptFollow
Imran Siddique, Department of Mathematics, University of Sargodha, Sargodha 40100, Pakistan AND Mathematics in Applied Sciences and Engineering Research Group, Scientific Research Center, Al-Ayen University, Nasiriyah, 64001, IraqFollow
Miin Shen Yang, Department of Applied Mathematics, Chung Yuan Christian University, Taoyuan 32023, TaiwanFollow

ORCID

Mona Gharib: https://orcid.org/0009-0006-7367-4307

Imran Siddique: https://orcid.org/0000-0002-5060-7906

Miin Shen Yang: https://orcid.org/0000-0002-4907-3548

Article Type

Research Article

Abstract

Outcome-Based Education (OBE) emphasizes measurable learning results, yet the evaluation of professional talent training in physical education often involves uncertain, incomplete, or even contradictory indicators. Traditional assessment models are limited in capturing these indeterminacies. To address this challenge, we propose a novel neutrosophic algebraic framework that integrates neutrosophic probability, measure, and algebraic structures with OBE evaluation. This study introduces a neutrosophic evaluation framework that captures both determinate and indeterminate aspects of brand competitiveness. A case study on physical education professional training demonstrates how the proposed model captures hidden uncertainty and provides a more balanced assessment than classical methods. The results highlight the originality and flexibility of neutrosophic approaches in educational evaluation, offering a systematic way to handle indeterminate, inconsistent, and incomplete data in talent development programs.

Keywords

Neutrosophic probability, Outcome-based education (OBE), Talent training, Neutrosophic algebra, Indeterminacy, Evaluation models

How to Cite

Gharib, Mona; Siddique, Imran; and Yang, Miin Shen (2025) "Neutrosophic Algebraic Structures for Precise Uncertainty Quantification in Outcome-Based Education Systems: A Rigorous Case Study Analysis," Neutrosophic Systems with Applications: Vol. 25: Iss. 10, Article 2. DOI: https://doi.org/10.63689/2993-7159.1301