A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems
Computer-Aided Art Design (CAAD) systems often produce outputs with complex visual transitions that are difficult to evaluate using binary or crisp metrics. Traditional quality assessment models fail to represent the uncertainty and partial aesthetic impact present in transitional regions areas betw...
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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/29NeutrosophicTriplet.pdf |
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| author | Yuxiang Wang |
| author_facet | Yuxiang Wang |
| author_sort | Yuxiang Wang |
| collection | DOAJ |
| description | Computer-Aided Art Design (CAAD) systems often produce outputs with complex visual transitions that are difficult to evaluate using binary or crisp metrics. Traditional quality assessment models fail to represent the uncertainty and partial aesthetic impact present in transitional regions areas between visually pleasing and visually rejected zones. This paper proposes a novel neutrosophic triplet field model that quantifies the aesthetic quality of design outputs using three independent components: degree of visual truth (T), perceptual indeterminacy (I), and aesthetic failure (F). The model draws on principles from the Neutrosophic Magnetic Field to define spatial zones of influence and incorporates a partially-observed field response inspired by Neutrosophic Quantum Theory. Mathematical functions define each component across a design surface, and several equations are derived to compute zone-specific values. A fully calculated case study on a discretized design space demonstrates the model's ability to detect and differentiate visually ambiguous zones. Results show the importance of transitional zones where indeterminacy peaks as key contributors to nuanced aesthetic perception. This model offers a rigorous, quantifiable, and human-relevant framework for analyzing artistic quality in CAAD systems. |
| format | Article |
| id | doaj-art-67730e96e8f74b5487a8567e1eb56e32 |
| 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-67730e96e8f74b5487a8567e1eb56e322025-08-20T03:07:10ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018843544510.5281/zenodo.15825555A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design SystemsYuxiang WangComputer-Aided Art Design (CAAD) systems often produce outputs with complex visual transitions that are difficult to evaluate using binary or crisp metrics. Traditional quality assessment models fail to represent the uncertainty and partial aesthetic impact present in transitional regions areas between visually pleasing and visually rejected zones. This paper proposes a novel neutrosophic triplet field model that quantifies the aesthetic quality of design outputs using three independent components: degree of visual truth (T), perceptual indeterminacy (I), and aesthetic failure (F). The model draws on principles from the Neutrosophic Magnetic Field to define spatial zones of influence and incorporates a partially-observed field response inspired by Neutrosophic Quantum Theory. Mathematical functions define each component across a design surface, and several equations are derived to compute zone-specific values. A fully calculated case study on a discretized design space demonstrates the model's ability to detect and differentiate visually ambiguous zones. Results show the importance of transitional zones where indeterminacy peaks as key contributors to nuanced aesthetic perception. This model offers a rigorous, quantifiable, and human-relevant framework for analyzing artistic quality in CAAD systems. https://fs.unm.edu/NSS/29NeutrosophicTriplet.pdfneutrosophic field modelaesthetic evaluationindeterminacy zonevisual quality assessmenttif tripletspatial perceptioncaad quality metric |
| spellingShingle | Yuxiang Wang A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems Neutrosophic Sets and Systems neutrosophic field model aesthetic evaluation indeterminacy zone visual quality assessment tif triplet spatial perception caad quality metric |
| title | A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems |
| title_full | A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems |
| title_fullStr | A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems |
| title_full_unstemmed | A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems |
| title_short | A Neutrosophic Triplet Field Model for Assessing Transitional Aesthetic Zones in Computer-Aided Art Design Systems |
| title_sort | neutrosophic triplet field model for assessing transitional aesthetic zones in computer aided art design systems |
| topic | neutrosophic field model aesthetic evaluation indeterminacy zone visual quality assessment tif triplet spatial perception caad quality metric |
| url | https://fs.unm.edu/NSS/29NeutrosophicTriplet.pdf |
| work_keys_str_mv | AT yuxiangwang aneutrosophictripletfieldmodelforassessingtransitionalaestheticzonesincomputeraidedartdesignsystems AT yuxiangwang neutrosophictripletfieldmodelforassessingtransitionalaestheticzonesincomputeraidedartdesignsystems |