• Journal of applied mathematics & informatics
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• v.10 no.1_2
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• pp.209-216
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• 2002

We study correspondences between interval structures and hyperstructures.

• Bulletin of the Korean Mathematical Society
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• v.50 no.2
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• pp.507-524
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• 2013

The notion of $n$-ary algebraic hyperstructures is a generalization of ordinary algebraic hyperstructures. In this paper, we associate an n-ary hypergroupoid (H, $f$) with an ($n+1$)-ary relation ${\rho}_{n+1}$ defined on a non-empty set H. Then, we obtain some basic results in this respect. In particular, we investigate when it is an $n$-ary $H_v$-group, an $n$-ary hypergroup or a join $n$-ary space.