Study of soft set theory is extremely vital of possible implementations in the classical and nonclassical logic. Therefore, in the present study, new classes of soft generalized mappings namely; soft δ-ß-Continuous and δ-ß-Homeomorphism mappings have been introduced by employing another notion of generalized soft sets. Moreover, new structures of soft group theory and soft δ-ß-separation axioms are defined and discussed with assist of δ-ß-soft open sets. These types of generalized soft δ-ß-separation axioms would be beneficial for progress of soft topological spaces to solve the complicated issues containing uncertainties. Additionally, numerous applications related to these categories of soft generalized mappings in the soft group theory and soft δ-ß-separation axioms are discussed which may be of importance for further studies. Finally, we have shown the family of 𝒮δß𝓇–(Ҳ, 𝔍, E) create the theory of soft group.