A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis
This paper introduces a dual-framework methodology for analyzing corporate financial performance under uncertainty by integrating two original models: the MetaSymbolic Neutrosophic Performance Algebra (MSNPA) and the Symbolic Neutrosophic Multi-Layer Topological Algebra (SNMTA). These models fuse sy...
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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/46SymbolicNeutrosophic.pdf |
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| author | Yan Wu |
| author_facet | Yan Wu |
| author_sort | Yan Wu |
| collection | DOAJ |
| description | This paper introduces a dual-framework methodology for analyzing corporate financial performance under uncertainty by integrating two original models: the MetaSymbolic Neutrosophic Performance Algebra (MSNPA) and the Symbolic Neutrosophic Multi-Layer Topological Algebra (SNMTA). These models fuse symbolic representations of financial indicators with neutrosophic logic, allowing multi-dimensional encoding of truth, indeterminacy, and falsity across time, sources, and semantic roles. We define new mathematical constructs such as semantic clarity, epistemic degradation, and filtering monotonicity. Formal properties including continuity and semantic compactness are proven within a topological neutrosophic space. A real-world case study using Tesla and Apple financial indicators validates the model's effectiveness and shows how different truth layers affect trustworthiness. Comparative evaluation with fuzzy logic reveals the limitations of traditional scalar-based reasoning and highlights the interpretive power of symbolic-neutrosophic logic. The proposed framework offers a rigorous, expressive, and explainable solution for financial decision-making in uncertain environments. |
| format | Article |
| id | doaj-art-e7beabe59eac40f892cce7b78cc68472 |
| 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-e7beabe59eac40f892cce7b78cc684722025-08-20T04:03:26ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018871873610.5281/zenodo.15843751A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case AnalysisYan WuThis paper introduces a dual-framework methodology for analyzing corporate financial performance under uncertainty by integrating two original models: the MetaSymbolic Neutrosophic Performance Algebra (MSNPA) and the Symbolic Neutrosophic Multi-Layer Topological Algebra (SNMTA). These models fuse symbolic representations of financial indicators with neutrosophic logic, allowing multi-dimensional encoding of truth, indeterminacy, and falsity across time, sources, and semantic roles. We define new mathematical constructs such as semantic clarity, epistemic degradation, and filtering monotonicity. Formal properties including continuity and semantic compactness are proven within a topological neutrosophic space. A real-world case study using Tesla and Apple financial indicators validates the model's effectiveness and shows how different truth layers affect trustworthiness. Comparative evaluation with fuzzy logic reveals the limitations of traditional scalar-based reasoning and highlights the interpretive power of symbolic-neutrosophic logic. The proposed framework offers a rigorous, expressive, and explainable solution for financial decision-making in uncertain environments. https://fs.unm.edu/NSS/46SymbolicNeutrosophic.pdfcorporate performanceneutrosophic algebrasymbolic indicatorsuncertainty modelingepistemic structuredynamic metricsneutrosophic logic |
| spellingShingle | Yan Wu A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis Neutrosophic Sets and Systems corporate performance neutrosophic algebra symbolic indicators uncertainty modeling epistemic structure dynamic metrics neutrosophic logic |
| title | A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis |
| title_full | A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis |
| title_fullStr | A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis |
| title_full_unstemmed | A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis |
| title_short | A Symbolic Neutrosophic Models for Corporate Financial Management Performance: Integrating Multi-Layer Algebra and Case Analysis |
| title_sort | symbolic neutrosophic models for corporate financial management performance integrating multi layer algebra and case analysis |
| topic | corporate performance neutrosophic algebra symbolic indicators uncertainty modeling epistemic structure dynamic metrics neutrosophic logic |
| url | https://fs.unm.edu/NSS/46SymbolicNeutrosophic.pdf |
| work_keys_str_mv | AT yanwu asymbolicneutrosophicmodelsforcorporatefinancialmanagementperformanceintegratingmultilayeralgebraandcaseanalysis AT yanwu symbolicneutrosophicmodelsforcorporatefinancialmanagementperformanceintegratingmultilayeralgebraandcaseanalysis |