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Article type: Research Article
Authors: Song, Yana | Ge, Xunb; * | Li, Zhaowenc
Affiliations: [a] School of Mathematics and Statistics, Yulin Normal University, Yulin, Guangxi, P.R. China | [b] School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu, P.R. China | [c] Key Laboratory of Complex System Optimization and Big Data Processing in Department of Guangxi Education, Yulin Normal University, Yulin, Guangxi, P.R. China
Correspondence: [*] Corresponding author. Xun Ge, School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu 215006, P.R.China. E-mail: [email protected].
Abstract: Multisets are the nature extension of classical sets. Rough multisets are multisets in rough set context. This note studies rough multisets. We illustrate that Definition 9.1 in [4] is imperfect or irrational via an example. In order to improve this definition, we redefine rough multisets along with a illustrative example. Moreover, we obtain some properties of rough multisets based on new definition. Finally, we give applications of rough multisets.
Keywords: Multiset, Multiset relation, rough multiset, roughness, multiset topology
DOI: 10.3233/JIFS-200015
Journal: Journal of Intelligent & Fuzzy Systems, vol. 39, no. 3, pp. 3899-3906, 2020
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