Rough Set Theory Applied To Hyper BCK-Algebra

R. Ameri, R. Moradian, R. A. Borzooei

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.

Keywords


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

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References


R. A. Borzooei and H. Harizavi, Regular congrucence relation on hyper BCK-algebra, Sci. Math. Jpn., 61(1)(2005), 83-98.

Y. Imai, K. Iseki, On axiom system of propositional calculi XIV, Proc. Japan Academy, 42(1966), 19-22.

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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