On Soft Topology

Year 2015, Volume: 2 Issue: 3, 23 - 38, 17.06.2015

Serdar Enginoğlu Naim Çağman Serkan Karataş Tuğçe Aydın

https://doi.org/10.31202/ecjse.67135

Cited By: 12

Abstract

Soft set theory was introduced by Molodtsov in 1999. Until now many versions of it have been developed and applied to a lot of areas from algebra to decision making problems. One of these areas 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

On Soft Topology

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

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