پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 395 |
| تعداد مقالات | 3,465 |
| تعداد مشاهده مقاله | 5,359,762 |
| تعداد دریافت فایل اصل مقاله | 3,666,578 |
Connecting graphs with R-hypermodules via normal fuzzy subhypermodules | ||
| Journal of Hyperstructures | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 خرداد 1404 اصل مقاله (1.43 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2025.16409.1063 | ||
| نویسندگان | ||
| Razieh Mahjoob* 1؛ Fatemeh Niyazi1؛ 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 | ||
|
[1] F. Marty, Sur une generalization de la notion de groups, 8th Congress Math. Scandinaves, Stockholm, (1934). [2] L. A. Zadeh, Fuzzy sets, Information and Control, 8(3) (1965), 338-353. [3] A. Rosenfeld, Fuzzy groups, Journal of Mathematical Analysis and Applications, 35 (1971), 512-517. [4] A. Abdollahi, S. Akbari and H. R. Maimani, Noncommuting graph of a group, Journal of Algebra, 298(2) (2006), 468- 492. [5] I. Beck, Coloring of commutative rings, Journal of Algebra, 116(1) (1988), 208-226. [6] E. A. Bertram, Some applications of graph theory to finite groups, Discrete Mathematics, 44(1) (1983), 31-43. [7] P. Corsini, Hypergroups and Hypergraphs, Algebra Universalis, 35 (1996), 548-555. [8] R. Ameri and Z. Nazem Ashura, Graph associated to a fuzzy hypergroupoido, Journal of Fuzzy Systems and its Applications, 5 (2022), 55-81. [9] V. Leoreanu and I. Leoreanu, Hypergroups associated with hypergraphs, Italian Journal of Pure and Applied Mathematics, 4 (1998), 119-126. [10] Ch. G. Massouros and G. G. Massouros, Hypergroups associated with graphs and automata, Proceedings of the International Conference on numerical Analysis and Applied Mathematics, (2009), 164-167. [11] E. Mohammadzadeh, A graph associated to a polygroup with respect to an automorphism, Journal of Algebraic Hyperstructures and Logical Algebras, 2 (2021), 99-112. [12] Kh. Shamsi, R. Ameri and S. Mirvakili, Cayley graph associated to a semihypergroup, Journal of Algebraic Structures and Their Applications, 7 (2020), 29-49 [13] Z. Soltani, R. Ameri and Y. Talebi-Rostami, An introduction to zero-divisor graphs of a commutative multiplicative hyperring, Sigma Journal of Engineering and Natural Sciences, 9 (1) (2018), 101-106. [14] J. Zhan, B. Davvaz and K. P. Shum, On fuzzy isomorphism theorems of hypermodules, Soft Computing Journal, 11 (2007), 1053-1057. [15] M. Krasner, A class of hyperring and hyperfields, International Journal of Mathematics and Mathematical Sciences, 2 (1983), 307–312. [16] J. N. Mordeson, K. R. Bhutni and K. A. Rosenfeld, Fuzzy Group Theory, Studies in Fuzziness and Soft Computing; Springer-Verlag:Berlin/Heidelberg, Germany, (2005), 61-89. [17] Ch. Massouros, Free and cyclic hypermodules, Annali di Mathematica Pura ed Applicate, 150(1) (1988), 153-166. | ||
|
آمار تعداد مشاهده مقاله: 6 تعداد دریافت فایل اصل مقاله: 7 |
||