| Title: | Fuzzy bunch graphs and properties |
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| Authors: | ID Kundu, Swasti Hazra (Author)
ID Das, Kousik (Author)
ID Das, Kalyani Maity (Author)
ID Mršić, Leo (Author)
ID Kalampakas, Antonios (Author) |
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| Files: |  URL - Source URL, visit https://doi.org/10.5391/IJFIS.2024.25.3.326
 PDF - Presentation file, download (3,57 MB)
MD5: A139A1C1AE008EFBAC18CE34C281A808
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| Language: | English |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: |  RUDOLFOVO - Rudolfovo - Science and Technology Centre Novo Mesto
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| Abstract: | This paper presents an approach to graph theory that combines the well-established concept of fuzzy graph theory with recent developments in bunch graphs. Fuzzy graph theory, which is widely applied across various fields, graphically represents significant objects and provides a comprehensive overview of complex areas. By contrast, bunch graphs consolidate nodes with identical activities into a single node, thereby reducing the number of active nodes. However, the application scope of bunch graphs, being crisp graphs, is limited. We propose these concepts in a fuzzy bunch graph, expanding the application area and simplifying the graphical representation. We establish the membership value of a fuzzy bunch node adhering to the rules of the aforementioned theorems, which ranges between zero and unity. This approach not only reduces the number of nodes but also broadens the application scope. However, through an example, we observed that the values of certain properties fall between two specific numbers. This innovative approach enhances the versatility and efficiency of graph theory, making fuzzy bunch graphs a more effective tool. |
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| Keywords: | fuzzy graph, bunch graph, Matrix, graph theory |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 25.09.2025 |
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| Year of publishing: | 2025 |
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| Number of pages: | str. 326-342 |
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| Numbering: | Vol. 25, no. 3 |
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| PID: | 20.500.12556/DiRROS-23755  |
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| UDC: | 519.17 |
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| ISSN on article: | 2093-744X |
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| DOI: | 10.5391/IJFIS.2024.25.3.326 |
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| COBISS.SI-ID: | 251176707 |
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| Note: | Nasl. z nasl. zaslona;
Opis vira z dne 30. 9. 2025;
Soavtorji: Kousik Das, Kalyani Maity Das, Leo Mrsic, and Antonios Kalampakas; |
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| Publication date in DiRROS: | 01.09.2026 |
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| Views: | 51 |
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| Downloads: | 18 |
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