Abstract
Abstract
The aim of the present work is to define a new class of closed soft sets in soft closure spaces, namely, generalized closed soft sets (gc-soft sets, for short) which are defined over an initial universe set with a fixed set of parameters. This new class is a generalization to the class of closed soft sets. A necessary condition for a gc-soft set to be a soft closed is also obtainable. Moreover, the union and intersection of two gc-soft sets are discussed. Besides, some properties of gc-soft sets in the product soft closure spaces are also studied. Also, as an application of gc-soft sets a new soft separation axiom, namely
T
1
2
-soft closure space is introduced and its basic properties are investigated.
Subject
General Physics and Astronomy
Reference16 articles.
1. Some notes on soft topological spaces;Aygünoğlu
2. Soft set relations and functions;Babitha;Comput. Math. Appl.,2010
3. On generalized continuous maps maps in topological spaces;Balachandran;Mem. Fac. Sci. Kochi Univ. Ser. A Math.,1991
4. between closed sets and generalized closed sets in closure spaces;Boonpok;Acta Math. Inf. Univ. Ostraviensis,2008
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献