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Connecting graphs with R-hypermodules via normal fuzzy subhypermodules | ||
| Journal of Hyperstructures | ||
| دوره 14، شماره 1، 2025، صفحه 68-78 اصل مقاله (1.43 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16409.1063 | ||
| نویسندگان | ||
| Fatemeh Niyazi1؛ Razieh Mahjoob* 1؛ Reza Ameri2 | ||
| 1Department of Mathematics, Semnan University, Semnan, Iran | ||
| 2School of Mathematics, Statistics and computer science, College of Sciences University of Tehran, Tehran, Iran | ||
| چکیده | ||
| In this paper, we analyze the connection between R-hypermodules and graphs by associating a graph with an R- hypermodule through a normal fuzzy subhypermodule. We investigate the graph's properties, including connectedness, completeness, Eulerian and Hamiltonian characteristics. By defining a regular relation based on the fuzzy subhypermodule, we study how algebraic properties of R-hypermodules induence the associated graph. This work contributes to the understanding of fuzzy algebraic structures and their graphical representations, with potential applications in computer science and network theory. | ||
| کلیدواژه‌ها | ||
| hypermodule؛ normal fuzzy subhypermodule؛ regular relation؛ graph | ||
| مراجع | ||
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