A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education

Blended physical education (PE) integrates in-person and online activities, posing challenges in evaluating student engagement due to varying participation and uncertainties. This paper proposes a novel Neutrosophic Participation Quadruple (NPQ) model to assess engagement in college blended physical...

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Main Author: Bin Cao
Format: Article
Language:English
Published: University of New Mexico 2025-07-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/50ParticipationQuadruple.pdf
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author Bin Cao
author_facet Bin Cao
author_sort Bin Cao
collection DOAJ
description Blended physical education (PE) integrates in-person and online activities, posing challenges in evaluating student engagement due to varying participation and uncertainties. This paper proposes a novel Neutrosophic Participation Quadruple (NPQ) model to assess engagement in college blended physical education (PE) courses. The model extends neutrosophic sets by adding a fourth component called “extended neutrality” to represent partial participation. It also uses topological structures to analyze engagement levels. We provide clear definitions, proven theorems, and a detailed case study. Compared to other methods, the NPQ model is better at handling uncertainty and partial engagement, giving educators a useful tool to improve teaching.
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issn 2331-6055
2331-608X
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publisher University of New Mexico
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spelling doaj-art-57d2390c2b734e19bdd43cdf87fa5a712025-08-20T04:03:26ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018781082010.5281/zenodo.15733497A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical EducationBin CaoBlended physical education (PE) integrates in-person and online activities, posing challenges in evaluating student engagement due to varying participation and uncertainties. This paper proposes a novel Neutrosophic Participation Quadruple (NPQ) model to assess engagement in college blended physical education (PE) courses. The model extends neutrosophic sets by adding a fourth component called “extended neutrality” to represent partial participation. It also uses topological structures to analyze engagement levels. We provide clear definitions, proven theorems, and a detailed case study. Compared to other methods, the NPQ model is better at handling uncertainty and partial engagement, giving educators a useful tool to improve teaching. https://fs.unm.edu/NSS/50ParticipationQuadruple.pdfneutrosophic participation quadruplerefined neutrosophic setmultineutrosophic setstudent engagementblended learningtopologyuncertainty
spellingShingle Bin Cao
A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education
Neutrosophic Sets and Systems
neutrosophic participation quadruple
refined neutrosophic set
multineutrosophic set
student engagement
blended learning
topology
uncertainty
title A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education
title_full A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education
title_fullStr A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education
title_full_unstemmed A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education
title_short A Neutrosophic Participation Quadruple Model for Analyzing Student Engagement in Blended Physical Education
title_sort neutrosophic participation quadruple model for analyzing student engagement in blended physical education
topic neutrosophic participation quadruple
refined neutrosophic set
multineutrosophic set
student engagement
blended learning
topology
uncertainty
url https://fs.unm.edu/NSS/50ParticipationQuadruple.pdf
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