Article Search
닫기

Original Article

Split Viewer

International Journal of Fuzzy Logic and Intelligent Systems 2020; 20(2): 129-137

Published online June 25, 2020

https://doi.org/10.5391/IJFIS.2020.20.2.129

© The Korean Institute of Intelligent Systems

New Approach to Intuitionistic Fuzzy Rough Sets

Sang Min Yun and Seok Jong Lee

Department of Mathematics, Chungbuk National University, Cheongju, Korea

Correspondence to :
Seok Jong Lee (sjl@cbnu.ac.kr)

Received: December 15, 2019; Revised: May 2, 2020; Accepted: May 5, 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.

The properties of the intuitionistic fuzzy rough sets are very complicated and inadequate in the sense of the extension of intuitionistic properties. In order to overcome this unnaturalness, we introduce a new definition of intuitionistic fuzzy rough sets and investigate important properties about the image and inverse image of an intuitionistic rough sets under a mapping. All the results obtained from this new definition are different from the results in other papers, and will be proven useful in expanding the related theory.

Keywords: Intuitionistic fuzzy topology, Intuitionistic fuzzy rough sets

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

Sang Min Yun received his Ph.D. degree from Chungbuk National University in 2015. His research interests include general topology and fuzzy topology. He is a member of KIIS and KMS.

E-mail: jivesm@naver.com

Seok Jong Lee received his M.S. and Ph.D. degrees from Yonsei University in 1986 and 1990, respectively. He is a professor at the Department of Mathematics, Chungbuk National University since 1989. He was a visiting scholar in Carleton University from 1995 to 1996, and Wayne State University from 2003 to 2004. His research interests include general topology and fuzzy topology. He is a member of KIIS and KMS.

E-mail: sjl@cbnu.ac.kr

Article

Original Article

International Journal of Fuzzy Logic and Intelligent Systems 2020; 20(2): 129-137

Published online June 25, 2020 https://doi.org/10.5391/IJFIS.2020.20.2.129

Copyright © The Korean Institute of Intelligent Systems.

New Approach to Intuitionistic Fuzzy Rough Sets

Sang Min Yun and Seok Jong Lee

Department of Mathematics, Chungbuk National University, Cheongju, Korea

Correspondence to:Seok Jong Lee (sjl@cbnu.ac.kr)

Received: December 15, 2019; Revised: May 2, 2020; Accepted: May 5, 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

The properties of the intuitionistic fuzzy rough sets are very complicated and inadequate in the sense of the extension of intuitionistic properties. In order to overcome this unnaturalness, we introduce a new definition of intuitionistic fuzzy rough sets and investigate important properties about the image and inverse image of an intuitionistic rough sets under a mapping. All the results obtained from this new definition are different from the results in other papers, and will be proven useful in expanding the related theory.

Keywords: Intuitionistic fuzzy topology, Intuitionistic fuzzy rough sets

Share this article on :

Related articles in IJFIS