On Soft Topology

Authors : Serdar Enginoğlu, Naim Çağman, Serkan Karataş, Tuğçe Aydin

Pages : 23-38

Doi:10.31202/ecjse.67135

View : 14 | Download : 6

Publication Date : 2015-05-27

Article Type : Research

Abstract :Soft set theory was introduced by Molodtsov in 1999. Until now its many versions have been developed and applied to a lot of areas from algebra to decision making problems. One of these area is Soft Topology [Çağman, N., Karataş, S., Enginoglu, S., Soft topology, Computers and Mathematics with Applications, 62, 351-358, 2011.] However, it has some difficulties and mistakes. In this paper, for further study on the soft topology, we have made fit this concept which is important for development of the concept of soft sets by decontaminating from its own inconsistencies. We finally discuss this concept later on works.
Keywords : Soft sets, soft topology, soft open sets, soft single point set, soft limit point, soft Hausdorff space