Soft Bornological Group Acts on Soft Bornological Set

In this paper, we introduce the notation of soft bornological group to solve problem boundedness for group. We combine set theory with bornology space produce a new structure which is called So that both product and inverse maps are bounded. As well as, study actions on sets. The aim partition into orbital classes by acting set. addition, explain centralizer, normalizer, stabilizer in details. main important results prove groups action different elements same actions.