پیوندهای مفید
آمار
| تعداد نشریات | 26 |
| تعداد شماره‌ها | 373 |
| تعداد مقالات | 3,301 |
| تعداد مشاهده مقاله | 4,893,557 |
| تعداد دریافت فایل اصل مقاله | 3,349,915 |
Vague soft hypermodules; connections with soft hypermodules and homomorphisms | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 2، 2024، صفحه 156-166 اصل مقاله (1.58 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.15959.1047 | ||
| نویسندگان | ||
| Tahere Nozari* 1؛ Morteza Norouzi2 | ||
| 1Department of Mathematics Faculty of Sciences, Golestan University, Gorgan, Iran | ||
| 2Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, Bojnord, Iran | ||
| چکیده | ||
| In this paper, the notion of vague soft hypermodules is introduced, which is an extension of the notions of vague soft hypergroups and vague soft hyperrings. Also, some basic properties of vague soft hypermodules and homomorphisms between vague soft hypermodules are presented and the image and pre-image of a vague soft hypermodule under a vague soft hypermodule homomorphism are studied. | ||
| کلیدواژه‌ها | ||
| Soft set؛ vague soft set؛ vague soft hypermodule | ||
| مراجع | ||
|
[1] R. Ameri and T. Nozari, Fuzzy hyperalgebras, Computers & Mathematics with Applications, 61 (2011), 149-154. [2] R. Ameri, M. Norouzi and H. Hedayati, Application of fuzzy sets and fuzzy soft sets in hypermodules, RACSAM, 107 (2013), 327-338. [3] H. Bustince and P. Burillo, Vague sets are intuitionistic fuzzy sets, Fuzzy sets and systems, 79 (1996), 403-405. [4] P. Corsini, Prolegomena of Hypergroup Theory, Second edition, Aviani editor, 1993. [5] P. Corsini, V. Leoreanu, Applications of hyperstructures theory, Kluwer Academic Publishers, 2003. [6] B. Davvaz, Approximations in Hv-modules, Taiwanese Journal of Mathematics, 6(4) (2002), 499-505. [7] W. L. Gau, D.J. Buehrer, Vague sets, IEEE Transactions on systems, Man, and Cybernetics, 23(2) (1993), 610-614. [8] M. Krasner, A class of hyperring and hyper elds, International Journal of Mathematics and Mathematical Sciences, 6 (1983), 307-312. [9] V. Leoreanu-Fotea, Fuzzy hypermodules, Computers & Mathematics with Applications, 57 (2009), 466-475. [10] F. Marty, Sur une generalization de la notion de groupe, Proceedings of the 8th Congress des Mathematiciens Scandinaves, Stockholm, Sweden, (1934), 45-49. [11] C. S. Massouros, Free and cyclic hypermodules, Annali di Matematica Pura ed Applicata, 150 (1998), 153-166. [12] J. Mittas, Hypergroups canoniques, Mathematica Balkanica, 2 (1979), 165-179. [13] D. Molodtsov, Soft set theory- rst results, Computers & Mathematics with Applications, 37(4-5) (1999), 19-31. [14] R. Rosenfeld, Fuzzy groups, Journal of Mathematical Analysis and Applications, 35 (1971), 512-517. [15] G. Selvachandran and A. R. Salleh, Algebraic hyperstructures of vague soft sets associated with hyperrings and hyperideals, The Scienti c World Journal, (2015), Article ID 780121, 12 pages. [16] G. Selvachandran, A. R. Salleh, Vague soft hypergroups and vague soft hypergroup homomorphism, Advances in Fuzzy Systems, (2014), Article ID 758637, 10 pages. [17] T. Vougiouklis, Hyperstructures and their representations, Hadronic Press, 1994. [18] W. Xu, J. Ma, S. Wang and G. Hao, Vague soft sets and their properties, Computers & Mathematics with Applications, 59 (2010), 787-794. [19] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-358. [20] J. Zhan, B. Davvaz and K. P. Shum, A new view on fuzzy hypermodules, Acta Mathematica Sinica, English Series, 23 (2007), 1345-1356. | ||
|
آمار تعداد مشاهده مقاله: 66 تعداد دریافت فایل اصل مقاله: 104 |
||