Structural Properties of Cubic Sets in Regular LA-semihypergroups

In this article we characterize the regular LA-semihypergroups in terms of ($\in_{\Gamma}, \in_{\Gamma}$ V $q \Delta$)-cubic (left, right, two sided, bi, generalized bi, interior, quasi)-hyperideals of LA-semihypergroups. Meanwhile, some illustrative examples are given to show the rationality of the definitions popularized in the present paper.