Rough Set Theory Applied To Hyper BCK-Algebra

Authors

  • R. Ameri School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, P.O. Box 14155-6455, Teheran, Iran
  • R. Moradian Department of Mathematics, Payam Noor University, Tehran, Iran
  • R. A. Borzooei Department of Mathematics, Shahid Beheshti University, Tehran, Iran

Keywords:

rough set, rough (weak, strong) hyper BCK-ideal, rough hyper subalgebra, regular congruence relation.

Abstract

The aim of this paper is to introduce the notions of lower and upper approximation of a subset of a hyper BCK-algebra with respect to a hyper BCK-ideal. We give the notion of rough hyper subalgebra and rough hyper BCK-ideal, too, and we investigate their properties.

References

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Y. B. Jun, M. M. Zahedi, X. L. Xin, R. A. Borzooei, On hyper BCK-algebra, Italian Journal of pure and applied Mathematics, No. 10(2000), 127-136.

Y. B. Jun, X. L. Xin, E. H. Roh and M. M. Zahedi, Strong hyper BCK-ideals of hyper BCK-algebra, Mathematicae Japonicae, Vol. 51, No 3(2000), 493-498.

Y. B. Jun, Roughness of ideals in BCK-algebras, Scientiae Mathematicae Japonicae, 57, No. 1(2003), 165-169.

F. Marty, Surune generalization de La notion de groups, 8th Congress Math. Scandinaves, Stockhholm, (1934). 45-49.

Z. Pawlak, Rough sets, Internet. J. Comput. Inform. Sci., 11(1982) 341-356. Kluwer academic publishing, Dorderecht(1991).

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Published

2014-06-30

Issue

Vol. 26 (2014)

Section

Volume 26-2014

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