Author/Authors :
Abd El-latif, A.M Mathematics Department - Faculty of Arts and Science - Northern Border University - Rafha, Saudi Arabia
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 β-open sets and supra {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: fpu is a supra soft A{continuous if it is both supra soft semi-continuous and
supra SLC{continuous, and also fpu 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.
Keywords :
supra soft topological space , supra A-soft sets , supra soft locally closed sets , supra SLC-continuous functions