Complex Neutrosophic Hypergraphs: New Social Network Models
A complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase terms. Hypergraphs are objects that enable us t...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2019-11-01
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| Series: | Algorithms |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1999-4893/12/11/234 |
| _version_ | 1811195152807493632 |
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| author | Anam Luqman Muhammad Akram Florentin Smarandache |
| author_facet | Anam Luqman Muhammad Akram Florentin Smarandache |
| author_sort | Anam Luqman |
| collection | DOAJ |
| description | A complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase terms. Hypergraphs are objects that enable us to dig out invisible connections between the underlying structures of complex systems such as those leading to sustainable development. In this paper, we apply the most fruitful concept of complex neutrosophic sets to theory of hypergraphs. We define complex neutrosophic hypergraphs and discuss their certain properties including lower truncation, upper truncation, and transition levels. Furthermore, we define <i>T</i>-related complex neutrosophic hypergraphs and properties of minimal transversals of complex neutrosophic hypergraphs. Finally, we represent the modeling of certain social networks with intersecting communities through the score functions and choice values of complex neutrosophic hypergraphs. We also give a brief comparison of our proposed model with other existing models. |
| first_indexed | 2024-04-12T00:37:36Z |
| format | Article |
| id | doaj.art-99df83f0b65146688329ec303809846f |
| institution | Directory Open Access Journal |
| issn | 1999-4893 |
| language | English |
| last_indexed | 2024-04-12T00:37:36Z |
| publishDate | 2019-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Algorithms |
| spelling | doaj.art-99df83f0b65146688329ec303809846f2022-12-22T03:55:06ZengMDPI AGAlgorithms1999-48932019-11-01121123410.3390/a12110234a12110234Complex Neutrosophic Hypergraphs: New Social Network ModelsAnam Luqman0Muhammad Akram1Florentin Smarandache2Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanDepartment of Mathematics, University of the Punjab, New Campus, Lahore 54590, PakistanMathematics & Science Department, University of New Mexico, Albuquerque, NM 87131, USAA complex neutrosophic set is a useful model to handle indeterminate situations with a periodic nature. This is characterized by truth, indeterminacy, and falsity degrees which are the combination of real-valued amplitude terms and complex-valued phase terms. Hypergraphs are objects that enable us to dig out invisible connections between the underlying structures of complex systems such as those leading to sustainable development. In this paper, we apply the most fruitful concept of complex neutrosophic sets to theory of hypergraphs. We define complex neutrosophic hypergraphs and discuss their certain properties including lower truncation, upper truncation, and transition levels. Furthermore, we define <i>T</i>-related complex neutrosophic hypergraphs and properties of minimal transversals of complex neutrosophic hypergraphs. Finally, we represent the modeling of certain social networks with intersecting communities through the score functions and choice values of complex neutrosophic hypergraphs. We also give a brief comparison of our proposed model with other existing models.https://www.mdpi.com/1999-4893/12/11/234complex neutrosophic hypergraphst-related complex neutrosophic hypergraphsalgorithmscomparative analysis |
| spellingShingle | Anam Luqman Muhammad Akram Florentin Smarandache Complex Neutrosophic Hypergraphs: New Social Network Models Algorithms complex neutrosophic hypergraphs t-related complex neutrosophic hypergraphs algorithms comparative analysis |
| title | Complex Neutrosophic Hypergraphs: New Social Network Models |
| title_full | Complex Neutrosophic Hypergraphs: New Social Network Models |
| title_fullStr | Complex Neutrosophic Hypergraphs: New Social Network Models |
| title_full_unstemmed | Complex Neutrosophic Hypergraphs: New Social Network Models |
| title_short | Complex Neutrosophic Hypergraphs: New Social Network Models |
| title_sort | complex neutrosophic hypergraphs new social network models |
| topic | complex neutrosophic hypergraphs t-related complex neutrosophic hypergraphs algorithms comparative analysis |
| url | https://www.mdpi.com/1999-4893/12/11/234 |
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