A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation
We propose a new mathematical model for evaluating the quality of university teaching management. This model uses a neutrosophic offset framework, where the truthmembership, indeterminacy, and falsehood degrees (T, I, F) are allowed to be outside the classical interval [0,1]. Specifically, values ma...
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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/14NeutrosophicOffset.pdf |
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| author | Yahong Zhang |
| author_facet | Yahong Zhang |
| author_sort | Yahong Zhang |
| collection | DOAJ |
| description | We propose a new mathematical model for evaluating the quality of university teaching management. This model uses a neutrosophic offset framework, where the truthmembership, indeterminacy, and falsehood degrees (T, I, F) are allowed to be outside the classical interval [0,1]. Specifically, values may exceed 1 (over-membership) or be negative (under-membership). To flexibly respond to these offset values, we introduce adaptive weight functions that adjust dynamically according to the magnitude and direction of deviation. The evaluation model is then embedded into a topological offset space, which provides a framework for analyzing the connectivity and stability of various quality indicators. Additionally, we define an offset dynamics index to capture the temporal evolution of these offsets. This integrated approach provides a comprehensive and precise assessment of university teaching management quality in complex and dynamic environments. |
| format | Article |
| id | doaj-art-9fdb9ae11c1a493ab9c8b60859054190 |
| institution | Kabale University |
| 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-9fdb9ae11c1a493ab9c8b608590541902025-08-20T03:47:17ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018717719310.5281/zenodo.15625349A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality EvaluationYahong ZhangWe propose a new mathematical model for evaluating the quality of university teaching management. This model uses a neutrosophic offset framework, where the truthmembership, indeterminacy, and falsehood degrees (T, I, F) are allowed to be outside the classical interval [0,1]. Specifically, values may exceed 1 (over-membership) or be negative (under-membership). To flexibly respond to these offset values, we introduce adaptive weight functions that adjust dynamically according to the magnitude and direction of deviation. The evaluation model is then embedded into a topological offset space, which provides a framework for analyzing the connectivity and stability of various quality indicators. Additionally, we define an offset dynamics index to capture the temporal evolution of these offsets. This integrated approach provides a comprehensive and precise assessment of university teaching management quality in complex and dynamic environments. https://fs.unm.edu/NSS/14NeutrosophicOffset.pdfneutrosophic offsetover-membershipunder-membershipoff-membershipadaptive weightstopological offset spaceoffset dynamicsteaching management evaluation |
| spellingShingle | Yahong Zhang A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation Neutrosophic Sets and Systems neutrosophic offset over-membership under-membership off-membership adaptive weights topological offset space offset dynamics teaching management evaluation |
| title | A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation |
| title_full | A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation |
| title_fullStr | A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation |
| title_full_unstemmed | A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation |
| title_short | A Neutrosophic Offset Adaptive Weight Model with Topological Offset Space and Dynamic Offset Analysis for University Teaching Management Quality Evaluation |
| title_sort | neutrosophic offset adaptive weight model with topological offset space and dynamic offset analysis for university teaching management quality evaluation |
| topic | neutrosophic offset over-membership under-membership off-membership adaptive weights topological offset space offset dynamics teaching management evaluation |
| url | https://fs.unm.edu/NSS/14NeutrosophicOffset.pdf |
| work_keys_str_mv | AT yahongzhang aneutrosophicoffsetadaptiveweightmodelwithtopologicaloffsetspaceanddynamicoffsetanalysisforuniversityteachingmanagementqualityevaluation AT yahongzhang neutrosophicoffsetadaptiveweightmodelwithtopologicaloffsetspaceanddynamicoffsetanalysisforuniversityteachingmanagementqualityevaluation |