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Fuzzy Rough Sets Based on Dominance Relations
Xiao-yan Zhang * #
Department of Mathematics and Information Science, Guangdong Ocean University
*Correspondence author
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Funding: none
Opened online: 5 January 2007
Accepted by: none
Citation: Xiao-yan Zhang.Fuzzy Rough Sets Based on Dominance Relations[OL]. [ 5 January 2007] http://en.paper.edu.cn/en_releasepaper/content/10593
 
 
This model for fuzzy rough sets is one of the most important parts in rough set theory. Moreover, it is based on an equivalence relation (indiscernibility relation). However, many systems are not only concerned with fuzzy sets, but also based on a dominance relation because of various factors in practice. To acquire knowledge from the systems, construction of model for fuzzy rough sets based on dominance relations is very necessary. The main aim to this paper is to study this issue. Concepts of the lower and the upper approximations of fuzzy rough sets based on dominance relations are proposed. Furthermore, model for fuzzy rough sets based on dominance relations is constructed, and some properties are discussed.
Keywords:Rough sets; Dominance relations; fuzzy sets.
 
 
 

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