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The interval-valued fuzzy sets based on Flou sets

Hong-Xia Li,Kun Liu,Zeng-Tai Gong

ICMLC（2013）

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Abstract
In this paper, the connection between Flou sets and interval-valued fuzzy sets is established. Firstly, by using the concept of Flou sets, Flou σ-algebras and Flou nested sets are presented. Secondly, it is shown that an interval-valued fuzzy set can be considered as an equivalent class of Flou nested set. Finally, the cut set of an interval-valued fuzzy set is introduced and its properties are discussed.
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Key words
fuzzy set theory,flou nested sets,cut set,boolean algebra,flou set,interval-valued fuzzy sets,interval-valued fuzzy set,flou σ-algebras,nested set,gold,cognition,iron
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