20.500.12556/DiRROS-23755 Fuzzy bunch graphs and properties 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. fuzzy graph bunch graph Matrix graph theory mehki graf šopasti graf matrika teorija grafov true false true Angleški jezik Slovenski jezik Neznano 2025-10-01 03:59:02 2026-09-01 13:28:25 2026-09-02 04:15:54 0000-00-00 00:00:00 2025 0 0 Nasl. z nasl. zaslona; Opis vira z dne 30. 9. 2025; Soavtorji: Kousik Das, Kalyani Maity Das, Leo Mrsic, and Antonios Kalampakas; str. 326-342 no. 3 Vol. 25 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 2025-09-25 519.17 2093-744X 10.5391/IJFIS.2024.25.3.326 251176707 https://doi.org/10.5391/IJFIS.2024.25.3.326 1 41cd7aba-a5f8-11f1-8a94-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=50297 RAZ_Kundu_Swasti_Hazra_2025.pdf RAZ_Kundu_Swasti_Hazra_2025.pdf 1 A139A1C1AE008EFBAC18CE34C281A808 b273c37cba28ecc151765f8d123d8a3c5f4dd7b71b78ee4fc0500bede29a44cc 6f72e834-a5f8-11f1-8a94-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=50299 Rudolfovo – Znanstveno in tehnološko središče Novo mesto 0 0 0