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International Journal of Fuzzy Logic and Intelligent Systems 2020; 20(2): 119-123

Published online June 25, 2020

https://doi.org/10.5391/IJFIS.2020.20.2.119

© The Korean Institute of Intelligent Systems

On Soft ω-Structures Defined by Soft Sets

Won Keun Min

Department of Mathematics, Kangwon National University, Chuncheon, Korea

Correspondence to :
Won Keun Min (wkmin@kangwon.ac.kr)

Received: October 15, 2018; Revised: April 10, 2020; Accepted: April 23, 2020

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

In this work, we introduce the notion of soft w-structure and investigate some basic properties of this new structure by using the concept of soft set. Moreover, we study the notions of soft wT0 (soft wT1, soft wT2).

Keywords: Soft set, Soft topology, Soft ω-structure, Soft ω-T0 (ω-T1, ω-T2).

No potential conflict of interest relevant to this article was reported.

Won Keun Min received the M.S. and the Ph.D. degrees in mathematics from Korea University, Seoul, Korea in 1983 and 1987, respectively. He is currently a professor in the Department of Mathematics, Kangwon National University. His research interests include general topology, fuzzy topology and soft set theory.

E-mail: wkmin@kangwon.ac.kr


Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2020; 20(2): 119-123

Published online June 25, 2020 https://doi.org/10.5391/IJFIS.2020.20.2.119

Copyright © The Korean Institute of Intelligent Systems.

On Soft ω-Structures Defined by Soft Sets

Won Keun Min

Department of Mathematics, Kangwon National University, Chuncheon, Korea

Correspondence to:Won Keun Min (wkmin@kangwon.ac.kr)

Received: October 15, 2018; Revised: April 10, 2020; Accepted: April 23, 2020

This is an Open Access article distributed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted noncommercial use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

In this work, we introduce the notion of soft w-structure and investigate some basic properties of this new structure by using the concept of soft set. Moreover, we study the notions of soft wT0 (soft wT1, soft wT2).

Keywords: Soft set, Soft topology, Soft ω-structure, Soft ω-T0 (ω-T1, ω-T2).

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