A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts

This paper presents a new approach called MultiNeutrosophic Offset Structures (MN-OS) to improve students’ Mental Health Literacy (MHL). The method combines ideas from psychology, education, sociology, and computer science to provide a more personalized and accurate way of understanding and improvin...

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Main Author: Yan Li
Format: Article
Language:English
Published: University of New Mexico 2025-07-01
Series:Neutrosophic Sets and Systems
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Online Access:http://fs.unm.edu/NSS/42MultiNeutrosophic.pdf
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author Yan Li
author_facet Yan Li
author_sort Yan Li
collection DOAJ
description This paper presents a new approach called MultiNeutrosophic Offset Structures (MN-OS) to improve students’ Mental Health Literacy (MHL). The method combines ideas from psychology, education, sociology, and computer science to provide a more personalized and accurate way of understanding and improving students’ mental health knowledge. Unlike traditional models, MN-OS allows the levels of truth (T), uncertainty (I), and falsehood (F) to go beyond normal limits (above 1 or below 0), which helps capture extreme cases like strong misconceptions or outstanding understanding. The model represents students’ knowledge as points within a Multiple space and uses new mathematical tools such as custom operators, matrices, and clustering algorithms to group students with similar MHL profiles. Based on these groups, targeted interventions can be designed to address specific needs. To test the model, a simulation was conducted with 300 students. The results showed 94% accuracy in clustering and an 87% improvement in MHL outcomes after the interventions. This demonstrates that the MNOS framework is effective, flexible, and scalable for improving mental health education in diverse student populations.
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spelling doaj-art-2bc0113378564aacaa523297e2d8a7692025-08-20T04:03:27ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018767868810.5281/zenodo.15708537 A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary ContextsYan LiThis paper presents a new approach called MultiNeutrosophic Offset Structures (MN-OS) to improve students’ Mental Health Literacy (MHL). The method combines ideas from psychology, education, sociology, and computer science to provide a more personalized and accurate way of understanding and improving students’ mental health knowledge. Unlike traditional models, MN-OS allows the levels of truth (T), uncertainty (I), and falsehood (F) to go beyond normal limits (above 1 or below 0), which helps capture extreme cases like strong misconceptions or outstanding understanding. The model represents students’ knowledge as points within a Multiple space and uses new mathematical tools such as custom operators, matrices, and clustering algorithms to group students with similar MHL profiles. Based on these groups, targeted interventions can be designed to address specific needs. To test the model, a simulation was conducted with 300 students. The results showed 94% accuracy in clustering and an 87% improvement in MHL outcomes after the interventions. This demonstrates that the MNOS framework is effective, flexible, and scalable for improving mental health education in diverse student populations. http://fs.unm.edu/NSS/42MultiNeutrosophic.pdfmultineutrosophic offsetrefined neutrosophic setmental health literacyinterdisciplinary educationknowledge clusteringneutrosophic logic
spellingShingle Yan Li
A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts
Neutrosophic Sets and Systems
multineutrosophic offset
refined neutrosophic set
mental health literacy
interdisciplinary education
knowledge clustering
neutrosophic logic
title A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts
title_full A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts
title_fullStr A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts
title_full_unstemmed A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts
title_short A MultiNeutrosophic Offset Model for Clustering and Optimizing College Students' Mental Health Literacy in Interdisciplinary Contexts
title_sort multineutrosophic offset model for clustering and optimizing college students mental health literacy in interdisciplinary contexts
topic multineutrosophic offset
refined neutrosophic set
mental health literacy
interdisciplinary education
knowledge clustering
neutrosophic logic
url http://fs.unm.edu/NSS/42MultiNeutrosophic.pdf
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