M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality
In the era of big data, college students face complex psychological challenges influenced by high-volume, high-velocity, and often conflicting information. Traditional educational psychology models often fail to capture the uncertainty, inconsistency, and vagueness in students' emotional and co...
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| Format: | Article |
| Language: | English |
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University of New Mexico
2025-07-01
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| Series: | Neutrosophic Sets and Systems |
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| Online Access: | https://fs.unm.edu/NSS/42MPolar.pdf |
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| _version_ | 1849735378947276800 |
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| author | Huali Huang |
| author_facet | Huali Huang |
| author_sort | Huali Huang |
| collection | DOAJ |
| description | In the era of big data, college students face complex psychological challenges influenced by high-volume, high-velocity, and often conflicting information. Traditional educational psychology models often fail to capture the uncertainty, inconsistency, and vagueness in students' emotional and cognitive responses. In this paper, we propose a novel mathematical framework using neutrosophic d-algebra, MBJ-neutrosophic ordered subalgebras, and NeutroGeometry to model the psychological dynamics of college students. The model incorporates the Law of Included Infinitely-Many-Middles to represent continuous psychological fluctuation and uncertainty. Our approach introduces multi-layered logical structures with precise mathematical definitions, supported by equations and fully calculated examples. This framework allows for more realistic modeling of student behavior, incorporating degrees of truth, indeterminacy, and falsehood. The proposed system is designed to support adaptive, data-driven psychological education modes that can better serve students in dynamic digital environments. |
| format | Article |
| id | doaj-art-83d048eec36a46cb8e96749827c3e441 |
| institution | DOAJ |
| issn | 2331-6055 2331-608X |
| language | English |
| publishDate | 2025-07-01 |
| publisher | University of New Mexico |
| record_format | Article |
| series | Neutrosophic Sets and Systems |
| spelling | doaj-art-83d048eec36a46cb8e96749827c3e4412025-08-20T03:07:34ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018866867910.5281/zenodo.15843630M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching QualityHuali HuangIn the era of big data, college students face complex psychological challenges influenced by high-volume, high-velocity, and often conflicting information. Traditional educational psychology models often fail to capture the uncertainty, inconsistency, and vagueness in students' emotional and cognitive responses. In this paper, we propose a novel mathematical framework using neutrosophic d-algebra, MBJ-neutrosophic ordered subalgebras, and NeutroGeometry to model the psychological dynamics of college students. The model incorporates the Law of Included Infinitely-Many-Middles to represent continuous psychological fluctuation and uncertainty. Our approach introduces multi-layered logical structures with precise mathematical definitions, supported by equations and fully calculated examples. This framework allows for more realistic modeling of student behavior, incorporating degrees of truth, indeterminacy, and falsehood. The proposed system is designed to support adaptive, data-driven psychological education modes that can better serve students in dynamic digital environments. https://fs.unm.edu/NSS/42MPolar.pdfneutrosophic d-algebrapsychological uncertaintybig datambj-subalgebrainfinitely-many-middlesneutrogeometryeducational modeling |
| spellingShingle | Huali Huang M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality Neutrosophic Sets and Systems neutrosophic d-algebra psychological uncertainty big data mbj-subalgebra infinitely-many-middles neutrogeometry educational modeling |
| title | M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality |
| title_full | M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality |
| title_fullStr | M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality |
| title_full_unstemmed | M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality |
| title_short | M-polar Single-Valued Neutrosophic Sets for Evaluation of University Sports Management Models and Sports Teaching Quality |
| title_sort | m polar single valued neutrosophic sets for evaluation of university sports management models and sports teaching quality |
| topic | neutrosophic d-algebra psychological uncertainty big data mbj-subalgebra infinitely-many-middles neutrogeometry educational modeling |
| url | https://fs.unm.edu/NSS/42MPolar.pdf |
| work_keys_str_mv | AT hualihuang mpolarsinglevaluedneutrosophicsetsforevaluationofuniversitysportsmanagementmodelsandsportsteachingquality |