Title of article :
Decomposition of supra soft locally closed sets and supra SLC-continuity
Author/Authors :
Abd El-latif, A.M Mathematics Department - Faculty of Arts and Science - Northern Border University - Rafha, Saudi Arabia
Pages :
13
From page :
13
To page :
25
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
Journal title :
Astroparticle Physics
Serial Year :
2018
Record number :
2442433
Link To Document :
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