Pawlak's approximations in Γ-semihypergroups

Authors:
S. M. Anvariyeh;S. Mirvakili;B. Davvaz
Affiliations:
Department of Mathematics, Yazd University, Yazd, Iran;Department of Mathematics, Payame Noor University, Yazd, Iran;Department of Mathematics, Yazd University, Yazd, Iran
Venue:
Computers & Mathematics with Applications
Year:
2010

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Abstract

The @C-semihypergroup is a generalization of a semigroup, a generalization of a semihypergroup, and a generalization of a @C-semigroup. In this paper, we discuss the roughness of @C-subsemihypergroups and @C-hyperideals (bi-@C-hyperideals) in@C-semihypergroups. In addition, we consider rough sets with respect to the idempotent regular relations in a quotient @C-semihypergroup. The upper approximations with respect to Green's equivalence relations are derived in the context of @C-subsemihypergroups and @C-hyperideals.