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Soft set theoretic approach to hyperstructtures | ||
| Journal of Hyperstructures | ||
| دوره 5، شماره 2، اسفند 2016، صفحه 115-123 اصل مقاله (256.78 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2016.2673 | ||
| نویسنده | ||
| Mustafa Burç Kandemir* | ||
| Department of Mathematics, Mugla Stk Kocman University , 48000, Mugla, Turkey | ||
| چکیده | ||
| In this paper, we have achieved hyperoperations us- ing soft set theory. We have showed that any given set H is a hyperstructure with And and Or operations in soft set theory. Furthermore, for any given algebraic structure (H; ), we have cre- ated hyperstructure using soft set operation which mentioned by Molodtsov [8] and binary operation . | ||
| کلیدواژهها | ||
| Soft set؛ hyperoperation؛ hyperstructure | ||
| مراجع | ||
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[1] H. Akta¸s and N. C¸ a˘gman, Soft sets and soft groups, Inform. Sci., 177 (2007), 2726-2735. [2] M. I. Ali, F. Feng, X. Y. Liu, W. K. Min and M. Shabir, On some new operations in soft set theory, Comput. Math. Appl., 57 (2009), 1547-1553. [3] N. Bourbaki, Algebra I Chapters 1–3, Springer-Verlag, 1989. [4] P. Corsini and V. Leoreanu, Applications of hyperstructures theory, Advanced in Mathematics, Kluwer Academic Publisher, (2003). [5] Y. K. Kim and W. K. Min, Full soft sets and full soft decision systems, J. Intell. Fuzzy Systems, 26 (2014), 925-933. [6] P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555-562. [7] F. Marty, Sur une generalization de la notion de groupe, In eighth Congress Math.,Scandinaves, Stockholm,(1934),45-49. [8] D. Molodtsov, Soft set theory-First results, Comput. Math. Appl., 37 (1999)19-31. | ||
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