Characterizations and properties of bounded $L$-fuzzy sets

Abstract

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