Abstract
In this paper, we introduce two different notions of generalized supra soft sets namely supra A-soft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [International Journal of Mathematical Trends and Technology (IJMTT), (2014) Vol. 9 (1):37-56] like supra semi open soft sets, supra pre open soft sets, supra alpha open sets and supra beta open sets. Furthermore, the soft union and intersection of two supra soft locally closed sets have been obtained. We also introduce two different notions of generalized supra soft continuity namely supra soft A-continuous functions and supra SLC-continuous functions. Finally, we obtain decompositions of supra soft continuity: f(pu) is a supra soft A continuous if it is both supra soft semi-continuous and supra SLC-continuous, and also f(pu) is a supra soft continuous if and only if it is both supra soft pre-continuous and supra SLC-continuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.