Affiliations: [a] School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China | [b] Beijing Key Laboratory on MCAACI, Beijing Institute of Technology, Beijing, P.R. China | [c] The Fujian Provincial Key Laboratory of Network Security and Cryptology, College of Mathematics and Informatics, Fujian Normal University, Fuzhou, P.R. China
Correspondence:
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Corresponding author. Yu Zhong, School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P.R. China. E-mail: [email protected].
Abstract: In this paper, the notion of subuniverses in the theory of universal algebras is generalized to L-fuzzy setting, which is called L-subuniverses. Some characterizations and representations of L-subuniverses are given. What is more, the relationship between L-subuniverses and L-convexities is discussed when L is a complete Heyting algebra. It is shown that there exists a one-to-one correspondence between L-subuniverses with the smallest L-subset and induced L-convexities.
