In this paper, we study the idea of rough approximations in LA-polygroups, and present some examples in this respect. In particular, we study some properties of rough LA-subpolygroup which is an extension of LA-subpolygroup. We prove that the lower (upper) approximation of an LA-subpolygroup is an LA-subpolygroup. We consider the factor LA-polygroup P/H and interpret the lower and upper approximations as subsets of the factor LA-polygroup P/H. Then, we introduce the concept of factor rough LA-subpolygroups. Also, we provided some results on homomorphisms of rough LA-subpolygroups.
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