Complex neutrosophic vague soft graphs
In this paper, we present and expand on the idea of complex neutrosophic vague soft graphs (CNVSGs), a sophisticated framework for simulating vagueness, uncertainty and indeterminacy in complex systems. We characterise a strong complex neutrosophic vague soft graph (SCNVSG) as one in which, under so...
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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/49VagueSoft.pdf |
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| author | Suriyakumar g. V. J. Sudhakar Syed Tahir Hussainy Mana donganont |
| author_facet | Suriyakumar g. V. J. Sudhakar Syed Tahir Hussainy Mana donganont |
| author_sort | Suriyakumar g. |
| collection | DOAJ |
| description | In this paper, we present and expand on the idea of complex neutrosophic vague soft graphs (CNVSGs), a sophisticated framework for simulating vagueness, uncertainty and indeterminacy in complex systems. We characterise a strong complex neutrosophic vague soft graph (SCNVSG) as one in which, under soft set parameters, both the edges and vertices have complex-valued memberships and high levels of neutrosophic vagueness. A revised metric that takes into consideration a cumulative strength and uncertainty of connections within the graph properties, we also present the complement of a complex neutrosophic vague soft graph and the complement of a strong complex neutrosophic vague soft graph. In uncertain networks, a complement operations provide information about inverse behaviors and dual linkage. We further explore the notion of isomorphism and provide criteria for structural equivalence under complex neutrosophic inaccurate mappings. To demonstrate how the proposed ideas can be used, examples are provided. The theoretical results in this paper provide the way for future studies of complex uncertain networks, particularly in areas such as information fusion, cognitive modelling and decision support systems. |
| format | Article |
| id | doaj-art-312d57dc5bbd42f7a69578d388aeb476 |
| 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-312d57dc5bbd42f7a69578d388aeb4762025-08-20T03:07:37ZengUniversity of New MexicoNeutrosophic Sets and Systems2331-60552331-608X2025-07-018778580910.5281/zenodo.15733484Complex neutrosophic vague soft graphsSuriyakumar g.V. J. SudhakarSyed Tahir Hussainy Mana donganontIn this paper, we present and expand on the idea of complex neutrosophic vague soft graphs (CNVSGs), a sophisticated framework for simulating vagueness, uncertainty and indeterminacy in complex systems. We characterise a strong complex neutrosophic vague soft graph (SCNVSG) as one in which, under soft set parameters, both the edges and vertices have complex-valued memberships and high levels of neutrosophic vagueness. A revised metric that takes into consideration a cumulative strength and uncertainty of connections within the graph properties, we also present the complement of a complex neutrosophic vague soft graph and the complement of a strong complex neutrosophic vague soft graph. In uncertain networks, a complement operations provide information about inverse behaviors and dual linkage. We further explore the notion of isomorphism and provide criteria for structural equivalence under complex neutrosophic inaccurate mappings. To demonstrate how the proposed ideas can be used, examples are provided. The theoretical results in this paper provide the way for future studies of complex uncertain networks, particularly in areas such as information fusion, cognitive modelling and decision support systems. https://fs.unm.edu/NSS/49VagueSoft.pdfsoft graphneutrosophic soft graphcomplex neutrosophic vague soft graph |
| spellingShingle | Suriyakumar g. V. J. Sudhakar Syed Tahir Hussainy Mana donganont Complex neutrosophic vague soft graphs Neutrosophic Sets and Systems soft graph neutrosophic soft graph complex neutrosophic vague soft graph |
| title | Complex neutrosophic vague soft graphs |
| title_full | Complex neutrosophic vague soft graphs |
| title_fullStr | Complex neutrosophic vague soft graphs |
| title_full_unstemmed | Complex neutrosophic vague soft graphs |
| title_short | Complex neutrosophic vague soft graphs |
| title_sort | complex neutrosophic vague soft graphs |
| topic | soft graph neutrosophic soft graph complex neutrosophic vague soft graph |
| url | https://fs.unm.edu/NSS/49VagueSoft.pdf |
| work_keys_str_mv | AT suriyakumarg complexneutrosophicvaguesoftgraphs AT vjsudhakar complexneutrosophicvaguesoftgraphs AT syedtahirhussainy complexneutrosophicvaguesoftgraphs AT manadonganont complexneutrosophicvaguesoftgraphs |