On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce
: In complex financial ecosystems, firms interact through asymmetric and uncertain relationships that classical models fail to capture adequately. With the increase of complexity of these ecosystems, standard topological and fuzzy approaches have become no longer able to expressively model indetermi...
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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/45NeutrosophicOpen.pdf |
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| _version_ | 1849233690147684352 |
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| author | Shiguang Zhang Man Li |
| author_facet | Shiguang Zhang Man Li |
| author_sort | Shiguang Zhang |
| collection | DOAJ |
| description | : In complex financial ecosystems, firms interact through asymmetric and uncertain relationships that classical models fail to capture adequately. With the increase of complexity of these ecosystems, standard topological and fuzzy approaches have become no longer able to expressively model indeterminacy intrinsic in financial interactions. To address this limitation, we propose a novel neutrosophic topological framework for corporate financial management, which introduces neutrosophic financial relations theories to enable a granular representation of membership influence, indeterminacy, and resistance in inter-firm dynamics. Our framework, then, drives neutrosophic open sets using upper and lower contour mappings and organizes them into a complete lattice structure, with support of formal set of operations. Furthermore, we propose Contour Index as a new centrality metric to quantify financial importance the neutrosophic topology. With the introduction of realistic case study from financial corporations, we investigate the applicability of our framework, and the results demonstrate its ability to identify influential firms, supporting ranks under uncertainty, and enhances strategic financial planning. Extensive analysis proves the ability to offer a powerful, uncertainty-aware foundation for financial analytics as well as decisionmaking in dynamic corporate networks. |
| format | Article |
| id | doaj-art-b4f7092bbc8c4d77aa6ced4398b86854 |
| 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-b4f7092bbc8c4d77aa6ced4398b868542025-08-20T04:03:26ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018869971710.5281/zenodo.15843660On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-CommerceShiguang ZhangMan Li: In complex financial ecosystems, firms interact through asymmetric and uncertain relationships that classical models fail to capture adequately. With the increase of complexity of these ecosystems, standard topological and fuzzy approaches have become no longer able to expressively model indeterminacy intrinsic in financial interactions. To address this limitation, we propose a novel neutrosophic topological framework for corporate financial management, which introduces neutrosophic financial relations theories to enable a granular representation of membership influence, indeterminacy, and resistance in inter-firm dynamics. Our framework, then, drives neutrosophic open sets using upper and lower contour mappings and organizes them into a complete lattice structure, with support of formal set of operations. Furthermore, we propose Contour Index as a new centrality metric to quantify financial importance the neutrosophic topology. With the introduction of realistic case study from financial corporations, we investigate the applicability of our framework, and the results demonstrate its ability to identify influential firms, supporting ranks under uncertainty, and enhances strategic financial planning. Extensive analysis proves the ability to offer a powerful, uncertainty-aware foundation for financial analytics as well as decisionmaking in dynamic corporate networks. https://fs.unm.edu/NSS/45NeutrosophicOpen.pdfneutrosophic setneutrosophic relationneutrosophic topologyneutrosophic open setcorporate financial managementlattice theoryfinancial topological structures |
| spellingShingle | Shiguang Zhang Man Li On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce Neutrosophic Sets and Systems neutrosophic set neutrosophic relation neutrosophic topology neutrosophic open set corporate financial management lattice theory financial topological structures |
| title | On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce |
| title_full | On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce |
| title_fullStr | On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce |
| title_full_unstemmed | On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce |
| title_short | On the Lattice Structure of Neutrosophic Open Sets for Risk Evaluation of Supply Chain Finance in International Cross-Border E-Commerce |
| title_sort | on the lattice structure of neutrosophic open sets for risk evaluation of supply chain finance in international cross border e commerce |
| topic | neutrosophic set neutrosophic relation neutrosophic topology neutrosophic open set corporate financial management lattice theory financial topological structures |
| url | https://fs.unm.edu/NSS/45NeutrosophicOpen.pdf |
| work_keys_str_mv | AT shiguangzhang onthelatticestructureofneutrosophicopensetsforriskevaluationofsupplychainfinanceininternationalcrossborderecommerce AT manli onthelatticestructureofneutrosophicopensetsforriskevaluationofsupplychainfinanceininternationalcrossborderecommerce |