Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 60, Issue 1, Pages 45-53Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2010.04.028
Keywords
Semihypergroups; Gamma-semihypergroup; Gamma-hyperideal; Rough set; Approximation
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The Gamma-semihypergroup is a generalization of a semigroup, a generalization of a semihypergroup, and a generalization of a Gamma-semigroup. In this paper, we discuss the roughness of Gamma-subsemihypergroups and Gamma-hyperideals (bi-Gamma-hyperideals) in Gamma-semihypergroups. In addition, we consider rough sets with respect to the idempotent regular relations in a quotient Gamma-semihypergroup. The upper approximations with respect to Green's equivalence relations are derived in the context of Gamma-subsemihypergroups and Gamma-hyperideals. (C) 2010 Elsevier Ltd. All rights reserved.
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