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
Sang Min Yun and Seok Jong Lee
Department of Mathematics, Chungbuk National University, Cheongju, Korea
Correspondence to :
Seok Jong Lee (sjl@cbnu.ac.kr)
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.
E-mail: jivesm@naver.com
E-mail: sjl@cbnu.ac.kr
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.
Sang Min Yun and Seok Jong Lee
Department of Mathematics, Chungbuk National University, Cheongju, Korea
Correspondence to:Seok Jong Lee (sjl@cbnu.ac.kr)
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
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