Soft Sets and Soft Topological Notions

Abstract

In this paper we extend the notions of operations on soft sets to arbitrary collection of soft setsand introduce the concepts of F{sigma}-soft set and G{sigma} -soft set. Furthermore we give definitions of softlocally finite, soft discrete, sigma-soft locally finite and sigma-soft closure preserving, relative to an arbitrarycollection of soft sets and study some of their properties

Keywords

• soft symmetric difference
• soft perfect
• relatively soft discrete
• soft closed domain (regularly closed)
• soft open domain (regularly open)