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Coding theory and hyper BCK-algebras | ||
| Journal of Hyperstructures | ||
| دوره 7، شماره 2، اسفند 2018، صفحه 82-93 اصل مقاله (322.98 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2018.2692 | ||
| نویسندگان | ||
| Atamewoue Tsafack Surdive* 1؛ Njeya Selestin2؛ Lele C´elestin3 | ||
| 1Department of Mathematics, University of Yaound´e 1, P.O.Box 47, Yaound´e, Cameroon | ||
| 2Department of Mathematics, Higher Teacher Training College, University of Yaound´e 1, P.O.Box 47, Yaound´e, Cameroon | ||
| 3Department of Mathematics, University of Dschang, P.O.Box 67, Dschang, Cameroon | ||
| چکیده | ||
| In this paper we define the notion of a hyper BCK valued function on a set and investigate some of it’s related properties as Y.B. Jun, S.Z. Song and C. Flaut have done for a BCK-algebras. We construct the codes generated by a hyper BCK valued function and provide an algorithm which allow to find a hyper BCK-algebra starting from a given binary block code. Moreover we establish the link between the hyper BCK-algebra constructed from a binary block code and hyper BCK-ideal on a hyper BCK-algebra. | ||
| کلیدواژهها | ||
| Hyper BCK-algebra؛ Coding theory؛ Block code؛ Hyper BCK-ideal | ||
| مراجع | ||
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[1] T.S. Atamewoue, Y.B. Jun, C. Lele, S. Ndjeya, and S.Z. Song, Codes based on residuated lattices, Commun. Korean Math. Soc., 31 (2016), 27–40. [2] R.A. Borzooei and M. Bakhshi, Some Results in Hyper BCK-algebras, Quasi-groups and Related Systems 11 (2004), 9–24. [3] C. Flaut, BCK-algebras Arising from Block Codes, J. Intell. Fuzzy Syst., 28 (2015), 1829–1833. [4] K. Iseki, S. Tanaka, An Introduction to the Theory of BCK-algebras, Math. Japonica, 23 (1978), 1–26. [5] Y. B. Jun and S. Z. Song, Codes based on BCK-algebras, Inform. Sci., 181 (2011), 5102–5109. [6] Y.B. Jun, M.M. Zahedi, X.L. Xin and R.A. Borzoei, On Hyper BCK-algebras,Italian Journal of Pure and Applied Mathematics, 8 (2000), 127–136. [7] F. Marty, Sur une generalization de la notion de groupe, 8iem congres Math. Scandinaves,Stockholm, (1934), 45–49. [8] E.H. Roh, Q. Zhang and Y.B.Jun,Some Results in Hyper BCK-algebras,Scien-tiae Mathematicae Japonica,5(2001),265–272. | ||
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