m-step inverse fuzzy mixed competition graphs
The notion of competition graphs has a wide range of applications and has been utilized in designing various ecological problems and real-world competitions. Here, the idea of m-step inverse fuzzy mixed competition graphs has been introduced and some of its basic properties have been discussed. Also...
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| Format: | Article |
| Language: | English |
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World Scientific Publishing
2024-12-01
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| Series: | International Journal of Mathematics for Industry |
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| Online Access: | https://www.worldscientific.com/doi/10.1142/S2661335224500060 |
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| author | Rahul Mondal Ganesh Ghorai |
| author_facet | Rahul Mondal Ganesh Ghorai |
| author_sort | Rahul Mondal |
| collection | DOAJ |
| description | The notion of competition graphs has a wide range of applications and has been utilized in designing various ecological problems and real-world competitions. Here, the idea of m-step inverse fuzzy mixed competition graphs has been introduced and some of its basic properties have been discussed. Also, some ideas associated with the concept of m-step inverse fuzzy mixed competition graphs, such as m-step inverse fuzzy neighborhood graph, inverse fuzzy mixed economic competition graph, and m-step inverse fuzzy mixed economic competition graph have been defined. Our motive was to focus on the real-life problems that can be properly addressed with graphs involving directed and undirected edges. In this case, the concept of an m-step fuzzy competition graph is not appropriate for solving these problems. However, the idea of m-step inverse fuzzy mixed competition graphs is more relevant to address them. An application of m-step inverse fuzzy mixed competition graphs has been identified as a suitable solution to a real-life problem. |
| format | Article |
| id | doaj-art-9ee1f888ca6a4f7b840bbc4f624d0005 |
| institution | Kabale University |
| issn | 2661-3352 2661-3344 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | World Scientific Publishing |
| record_format | Article |
| series | International Journal of Mathematics for Industry |
| spelling | doaj-art-9ee1f888ca6a4f7b840bbc4f624d00052025-01-31T06:15:28ZengWorld Scientific PublishingInternational Journal of Mathematics for Industry2661-33522661-33442024-12-01160110.1142/S2661335224500060m-step inverse fuzzy mixed competition graphsRahul Mondal0Ganesh Ghorai1Department of Mathematics, Vivekananda Satavarshiki Mahavidyalaya, Manikpara, Jhargram 721513, West Bengal, IndiaDepartment of Applied Mathematics, Vidyasagar University, Midnapore 721102, IndiaThe notion of competition graphs has a wide range of applications and has been utilized in designing various ecological problems and real-world competitions. Here, the idea of m-step inverse fuzzy mixed competition graphs has been introduced and some of its basic properties have been discussed. Also, some ideas associated with the concept of m-step inverse fuzzy mixed competition graphs, such as m-step inverse fuzzy neighborhood graph, inverse fuzzy mixed economic competition graph, and m-step inverse fuzzy mixed economic competition graph have been defined. Our motive was to focus on the real-life problems that can be properly addressed with graphs involving directed and undirected edges. In this case, the concept of an m-step fuzzy competition graph is not appropriate for solving these problems. However, the idea of m-step inverse fuzzy mixed competition graphs is more relevant to address them. An application of m-step inverse fuzzy mixed competition graphs has been identified as a suitable solution to a real-life problem.https://www.worldscientific.com/doi/10.1142/S2661335224500060Inverse fuzzy mixed competition graphm-step inverse fuzzy mixed competition graphm-step inverse fuzzy neighborhood graphinverse fuzzy mixed economic competition graph |
| spellingShingle | Rahul Mondal Ganesh Ghorai m-step inverse fuzzy mixed competition graphs International Journal of Mathematics for Industry Inverse fuzzy mixed competition graph m-step inverse fuzzy mixed competition graph m-step inverse fuzzy neighborhood graph inverse fuzzy mixed economic competition graph |
| title | m-step inverse fuzzy mixed competition graphs |
| title_full | m-step inverse fuzzy mixed competition graphs |
| title_fullStr | m-step inverse fuzzy mixed competition graphs |
| title_full_unstemmed | m-step inverse fuzzy mixed competition graphs |
| title_short | m-step inverse fuzzy mixed competition graphs |
| title_sort | m step inverse fuzzy mixed competition graphs |
| topic | Inverse fuzzy mixed competition graph m-step inverse fuzzy mixed competition graph m-step inverse fuzzy neighborhood graph inverse fuzzy mixed economic competition graph |
| url | https://www.worldscientific.com/doi/10.1142/S2661335224500060 |
| work_keys_str_mv | AT rahulmondal mstepinversefuzzymixedcompetitiongraphs AT ganeshghorai mstepinversefuzzymixedcompetitiongraphs |