A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises
This paper introduces a new mathematical model that evaluates the financial performance of high-tech enterprises using neutrosophic numbers and superhyper uncertainty theory. Traditional financial analysis often fails to address incomplete, indeterminate, or conflicting information. To solve this pr...
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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/58NeutrosophicSuperHyper.pdf |
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| author | Yujuan Xie |
| author_facet | Yujuan Xie |
| author_sort | Yujuan Xie |
| collection | DOAJ |
| description | This paper introduces a new mathematical model that evaluates the financial performance of high-tech enterprises using neutrosophic numbers and superhyper uncertainty theory. Traditional financial analysis often fails to address incomplete, indeterminate, or conflicting information. To solve this problem, we develop a Neutrosophic SuperHyper Number Framework (NSHNF) that combines elements from neutrosophic number theory, superhyper structures, and neutrosophic probability/statistics. Each financial metric is modeled as a neutrosophic number in the form x=a+bI, where I capture indeterminacy. These values are then structured using powersets Pn to allow for multiple levels of uncertainty. We introduce several new formulas, such as the Neutrosophic Mean, Variance, and a new index called NSHNPI (Neutrosophic SuperHyper Number Performance Index). Realistic examples are provided with full calculations to show the model's usefulness and accuracy. This work represents a new direction in financial evaluation by combining strong mathematical logic, deep uncertainty handling, and practical applications in business analytics. |
| format | Article |
| id | doaj-art-eb6e5c56b3fa4ca5abc32cd97163c29f |
| 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-eb6e5c56b3fa4ca5abc32cd97163c29f2025-08-20T03:07:34ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018890691810.5281/zenodo.15873438A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech EnterprisesYujuan XieThis paper introduces a new mathematical model that evaluates the financial performance of high-tech enterprises using neutrosophic numbers and superhyper uncertainty theory. Traditional financial analysis often fails to address incomplete, indeterminate, or conflicting information. To solve this problem, we develop a Neutrosophic SuperHyper Number Framework (NSHNF) that combines elements from neutrosophic number theory, superhyper structures, and neutrosophic probability/statistics. Each financial metric is modeled as a neutrosophic number in the form x=a+bI, where I capture indeterminacy. These values are then structured using powersets Pn to allow for multiple levels of uncertainty. We introduce several new formulas, such as the Neutrosophic Mean, Variance, and a new index called NSHNPI (Neutrosophic SuperHyper Number Performance Index). Realistic examples are provided with full calculations to show the model's usefulness and accuracy. This work represents a new direction in financial evaluation by combining strong mathematical logic, deep uncertainty handling, and practical applications in business analytics. https://fs.unm.edu/NSS/58NeutrosophicSuperHyper.pdfneutrosophic numberssuperhyper uncertaintyfinancial performancehigh-tech enterprisesneutrosophic statisticsindeterminacysuperhyperfunctionsnshnpineutrosophic logicuncertain decision models |
| spellingShingle | Yujuan Xie A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises Neutrosophic Sets and Systems neutrosophic numbers superhyper uncertainty financial performance high-tech enterprises neutrosophic statistics indeterminacy superhyperfunctions nshnpi neutrosophic logic uncertain decision models |
| title | A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises |
| title_full | A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises |
| title_fullStr | A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises |
| title_full_unstemmed | A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises |
| title_short | A Neutrosophic SuperHyper Number Framework for Accurate Statistical Evaluation of Financial Performance in High-Tech Enterprises |
| title_sort | neutrosophic superhyper number framework for accurate statistical evaluation of financial performance in high tech enterprises |
| topic | neutrosophic numbers superhyper uncertainty financial performance high-tech enterprises neutrosophic statistics indeterminacy superhyperfunctions nshnpi neutrosophic logic uncertain decision models |
| url | https://fs.unm.edu/NSS/58NeutrosophicSuperHyper.pdf |
| work_keys_str_mv | AT yujuanxie aneutrosophicsuperhypernumberframeworkforaccuratestatisticalevaluationoffinancialperformanceinhightechenterprises AT yujuanxie neutrosophicsuperhypernumberframeworkforaccuratestatisticalevaluationoffinancialperformanceinhightechenterprises |