The purpose of this paper is to introduce the notion of soft ideal in soft set theory. The concept of soft local function is also introduced. These concepts are discussed with a view to find new soft topologies from the original one. The basic structure, especially a basis for such generated soft topologies also studied here. Finally, the notion of compatibility of soft ideals with soft topologies is introduced and some equivalent conditions concerning this topic are established here.
Digital Object Identifier (DOI)
Kandil, A.; A. E. Tantawy, O.; A. El-Sheikh, S.; and M. Abd El-latif, A.
"Soft Ideal Theory Soft Local Function and Generated Soft Topological Spaces,"
Applied Mathematics & Information Sciences: Vol. 08
, Article 67.
Available at: https://dc.naturalspublishing.com/amis/vol08/iss4/67