A note on rough multisets-Reference-Cited by-同舟云学术

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A note on rough multisets

Published:2020-10-07 Issue:3 Volume:39 Page:3899-3906
ISSN:1064-1246
Container-title:Journal of Intelligent & Fuzzy Systems
language:
Short-container-title:IFS

Author:

Song Yan¹,Ge Xun²,Li Zhaowen³

Affiliation:

1. School of Mathematics and Statistics, Yulin Normal University, Yulin, Guangxi, P.R. China

2. School of Mathematical Sciences, Soochow University, Suzhou, Jiangsu, P.R. China

3. Key Laboratory of Complex System Optimization and Big Data Processing in Department of Guangxi Education, Yulin Normal University, Yulin, Guangxi, P.R. China

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.

Publisher

IOS Press

Subject

Artificial Intelligence,General Engineering,Statistics and Probability

Reference17 articles.

1. Multiset theory;Blizard;Notre Dame Journal of Logic,1989

2. Relations and functions in multiset context;Girish;Information Sciences,2009

3. Multiset topologies induced by multiset relations;Girish;Information Sciences,2012

4. General relation between partially ordered multisets and their chains and antichains;Girish;Mathematical Communications,2009

5. Hrbacek K. and Jech T. , Introduction to Set Theory, Marcel Dekker Inc., New York, (1984).

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