Soft topology

The concept of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this work, we define the soft topology on a soft set, and present its related properties. We then present the foundations of the theory of soft topological spaces.

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Bibliographic Details
Published in:Computers & mathematics with applications (1987) 2011-07, Vol.62 (1), p.351-358
Main Authors: Çağman, Naim, Karataş, Serkan, Enginoglu, Serdar
Format: Article
Language:English
Subjects:
Dealing
Foundations
Mathematical models
Soft closed sets
Soft Hausdorff space
Soft limit point
Soft open sets
Soft sets
Soft topology
Topology
Uncertainty
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Description
Summary:The concept of soft sets is introduced as a general mathematical tool for dealing with uncertainty. In this work, we define the soft topology on a soft set, and present its related properties. We then present the foundations of the theory of soft topological spaces.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2011.05.016