Inverse neutrosophic mixed graphs
This article successfully attempts to introduce the notion of Inverse Neutrosophic Mixed Graphs (INMG) together with its applications. This novel approach highlights the network modeling of real physical situations with indeterminacy. Here, INMG are developed with both directed and undirected relati...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Ayandegan Institute of Higher Education,
2024-07-01
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| Series: | Journal of Fuzzy Extension and Applications |
| Subjects: | |
| Online Access: | https://www.journal-fea.com/article_199553_ab64545f831bd2e81a8676f02d5f3a1b.pdf |
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| _version_ | 1832577827820535808 |
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| author | Thempaavai Jayaprakash Antony Cripsin Sweety Charles Selvaraj |
| author_facet | Thempaavai Jayaprakash Antony Cripsin Sweety Charles Selvaraj |
| author_sort | Thempaavai Jayaprakash |
| collection | DOAJ |
| description | This article successfully attempts to introduce the notion of Inverse Neutrosophic Mixed Graphs (INMG) together with its applications. This novel approach highlights the network modeling of real physical situations with indeterminacy. Here, INMG are developed with both directed and undirected relationships between nodes that express the circumstances where the truth membership degrees of the edges are superior or equivalent to the least of the truth membership degrees of the associated vertices and where false membership and indeterminacy values of the edges are inferior or equivalent to the maximum of false membership and indeterminacy values of the corresponding vertices. Furthermore, some fundamental functions and algebraic characteristics of INMG are examined to attain a profound insight into the properties and applications. To illustrate the application of INMG, the article provides a numerical example centered around social networks. By employing INMG in this context, the article demonstrates how the model can effectively capture and represent the complex relationships within social networks, taking into account the inherent uncertainties and indeterminacies present in such systems. |
| format | Article |
| id | doaj-art-946d8b20c9cf4139a0e4a0239a0eada6 |
| institution | Kabale University |
| issn | 2783-1442 2717-3453 |
| language | English |
| publishDate | 2024-07-01 |
| publisher | Ayandegan Institute of Higher Education, |
| record_format | Article |
| series | Journal of Fuzzy Extension and Applications |
| spelling | doaj-art-946d8b20c9cf4139a0e4a0239a0eada62025-01-30T15:07:12ZengAyandegan Institute of Higher Education,Journal of Fuzzy Extension and Applications2783-14422717-34532024-07-015339541510.22105/jfea.2024.429140.1356199553Inverse neutrosophic mixed graphsThempaavai Jayaprakash0Antony Cripsin Sweety Charles Selvaraj1Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India.Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women, Coimbatore, India.This article successfully attempts to introduce the notion of Inverse Neutrosophic Mixed Graphs (INMG) together with its applications. This novel approach highlights the network modeling of real physical situations with indeterminacy. Here, INMG are developed with both directed and undirected relationships between nodes that express the circumstances where the truth membership degrees of the edges are superior or equivalent to the least of the truth membership degrees of the associated vertices and where false membership and indeterminacy values of the edges are inferior or equivalent to the maximum of false membership and indeterminacy values of the corresponding vertices. Furthermore, some fundamental functions and algebraic characteristics of INMG are examined to attain a profound insight into the properties and applications. To illustrate the application of INMG, the article provides a numerical example centered around social networks. By employing INMG in this context, the article demonstrates how the model can effectively capture and represent the complex relationships within social networks, taking into account the inherent uncertainties and indeterminacies present in such systems.https://www.journal-fea.com/article_199553_ab64545f831bd2e81a8676f02d5f3a1b.pdfinverse neutrosophic mixed graphinverse fuzzy mixed graphfuzzy mixed graphdirected graphundirected graph |
| spellingShingle | Thempaavai Jayaprakash Antony Cripsin Sweety Charles Selvaraj Inverse neutrosophic mixed graphs Journal of Fuzzy Extension and Applications inverse neutrosophic mixed graph inverse fuzzy mixed graph fuzzy mixed graph directed graph undirected graph |
| title | Inverse neutrosophic mixed graphs |
| title_full | Inverse neutrosophic mixed graphs |
| title_fullStr | Inverse neutrosophic mixed graphs |
| title_full_unstemmed | Inverse neutrosophic mixed graphs |
| title_short | Inverse neutrosophic mixed graphs |
| title_sort | inverse neutrosophic mixed graphs |
| topic | inverse neutrosophic mixed graph inverse fuzzy mixed graph fuzzy mixed graph directed graph undirected graph |
| url | https://www.journal-fea.com/article_199553_ab64545f831bd2e81a8676f02d5f3a1b.pdf |
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