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Fuzzy Identity Graph of Finite Abelian Groups | ||
| Iranian Journal of Fuzzy Systems | ||
| دوره 22، شماره 5، آذر و دی 2025، صفحه 129-142 اصل مقاله (1.08 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2025.50289.8874 | ||
| نویسندگان | ||
| Anju C Augustine1؛ Shery Fernandez* 2 | ||
| 11. Department of Mathematics Cochin University of Science and Technology Kalamassery, Kochi, Kerala 682022 2. Department of Mathematics Deva Matha College, Kuravilangad, Kottayam, Kerala 686633 | ||
| 2Department of Mathematics Cochin University of Science and Technology Kalamassery, Kochi, Kerala 682022 Mob:9846762450 | ||
| چکیده | ||
| I In this work, we attempt to link a fuzzy graph to a fuzzy subgroup. A fuzzy graph, with the vertices representing the fuzzy subgroups elements, is used to represent a fuzzy subgroup. An identity graph is a speci c type of graph that can be used to represent a nite group. We de ne fuzzy identity graph of nite abelian groups by combining the notions of fuzzy graph and identity graph of a group. For a fuzzy identity graph of a nite abelian group, we determine an upper bound on the number of fuzzy cut vertices and fuzzy bridges. The structure of the fuzzy identity graph of the direct product of abelian groups is also obtained | ||
| کلیدواژهها | ||
| Fuzzy identity graph؛ fuzzy cut vertex؛ fuzzy bridge | ||
| مراجع | ||
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