The relationship between L-subuniverses and L-convexities

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 discusse...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2017-01, Vol.33 (6), p.3363-3372
Main Authors: Zhong, Yu, Yang, Shao-Jun, Shi, Fu-Gui
Format: Article
Language:English
Subjects:
Set theory
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-162136