Characterizations and properties of bounded $L$-fuzzy sets

Document Type: Research Paper


School of Science, Nanjing University of Posts and Telecommuni- cations, Nanjing 210023, China


In 1997, Fang proposed the concept of boundedness of $L$-fuzzy sets
in $L$-topological vector spaces. Since then, this concept has been
widely accepted and adopted in the literature. In this paper,
several characterizations of bounded $L$-fuzzy sets in
$L$-topological vector spaces are obtained and some properties of
bounded $L$-fuzzy sets are investigated.


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