Decompositions of Soft \alpha-continuity and Soft A-continuity

Authors : Naime Demirtaş, Orhan Dalkiliç

Pages : 86-94

View : 20 | Download : 12

Publication Date : 2020-06-30

Article Type : Research

Abstract :In this paper, we introduce the concepts of soft \alhaA-set, soft \alphaB-set, soft \alphaC-set and soft \alphaLC-set in soft topological spaces which are defi ned over an initial universe with a fixed set of parameters and discuss their relationships with each other and other weaker forms of soft open sets with counterexamples. We also investigate soft \alphaA-continuity, soft \alphaB-continuity, soft \alphaC-continuity and soft \alphaLC-continuity. Finally, we obtain two decompositions of soft \alpha-continuity and a decomposition of soft A-continuity.
Keywords : Soft set, Soft topological space, Soft alphaA-set, Soft alphaB-set, Soft alphaC-set, Soft alphaLC-set, Soft alphaA-continuous function, Soft alphaB-continuous function, Soft alphaC-continuous function, Soft alphaLC-continuous function