Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories
This paper introduces a new mathematical model called Q-Neutrosophic Spherical-Cubic Soft Evaluation Algebra (Q-NSCSEA) to support the improvement of educational practices in residential space art design courses. These courses are increasingly integrated with smart factory environments powered by th...
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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/59CubicSoft.pdf |
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| _version_ | 1849233688382930944 |
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| author | Xiaodan Kong |
| author_facet | Xiaodan Kong |
| author_sort | Xiaodan Kong |
| collection | DOAJ |
| description | This paper introduces a new mathematical model called Q-Neutrosophic Spherical-Cubic Soft Evaluation Algebra (Q-NSCSEA) to support the improvement of educational practices in residential space art design courses. These courses are increasingly integrated with smart factory environments powered by the Internet of Things (IoT). The model combines ideas from Q-neutrosophic logic, spherical sets, cubic soft sets, and algebraic quasigroup structures to form a powerful mathematical system. It helps evaluate and compare student design projects based on artistic, functional, and industrial standards. Our approach builds a structured neutrosophic system using truth (T), indeterminacy (I), and falsity (F) values to describe the level of aesthetic quality, uncertainty in design structure, and failure to meet IoT-smart production requirements. Several new mathematical definitions and operations are proposed, including neutrosophic union, intersection, and project composition under quasigroup behavior. Realistic numerical examples are provided to demonstrate how the model works in educational design assessments. The proposed model supports better decision-making for educators and designers by linking abstract creative ideas with real-world smart manufacturing constraints. |
| format | Article |
| id | doaj-art-ad7a623cae644c4b9b0393c151d4444d |
| 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-ad7a623cae644c4b9b0393c151d4444d2025-08-20T04:03:26ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018891992910.5281/zenodo.15873459Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart FactoriesXiaodan KongThis paper introduces a new mathematical model called Q-Neutrosophic Spherical-Cubic Soft Evaluation Algebra (Q-NSCSEA) to support the improvement of educational practices in residential space art design courses. These courses are increasingly integrated with smart factory environments powered by the Internet of Things (IoT). The model combines ideas from Q-neutrosophic logic, spherical sets, cubic soft sets, and algebraic quasigroup structures to form a powerful mathematical system. It helps evaluate and compare student design projects based on artistic, functional, and industrial standards. Our approach builds a structured neutrosophic system using truth (T), indeterminacy (I), and falsity (F) values to describe the level of aesthetic quality, uncertainty in design structure, and failure to meet IoT-smart production requirements. Several new mathematical definitions and operations are proposed, including neutrosophic union, intersection, and project composition under quasigroup behavior. Realistic numerical examples are provided to demonstrate how the model works in educational design assessments. The proposed model supports better decision-making for educators and designers by linking abstract creative ideas with real-world smart manufacturing constraints.https://fs.unm.edu/NSS/59CubicSoft.pdfneutrosophic logicart designiotsmart factoryq-soft setcubic setsquasigroup |
| spellingShingle | Xiaodan Kong Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories Neutrosophic Sets and Systems neutrosophic logic art design iot smart factory q-soft set cubic sets quasigroup |
| title | Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories |
| title_full | Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories |
| title_fullStr | Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories |
| title_full_unstemmed | Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories |
| title_short | Q-Neutrosophic Spherical-Cubic Soft Algebra for Enhancing Residential Space Art Design Courses Quality in IoT-Enabled Smart Factories |
| title_sort | q neutrosophic spherical cubic soft algebra for enhancing residential space art design courses quality in iot enabled smart factories |
| topic | neutrosophic logic art design iot smart factory q-soft set cubic sets quasigroup |
| url | https://fs.unm.edu/NSS/59CubicSoft.pdf |
| work_keys_str_mv | AT xiaodankong qneutrosophicsphericalcubicsoftalgebraforenhancingresidentialspaceartdesigncoursesqualityiniotenabledsmartfactories |