Affiliations: [a] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China
| [b] College of Mathematics, Honghe University, Mengzi, Yunnan, China
Correspondence:
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Corresponding author. Qingguo Li, College of Mathematics and Econometrics, Hunan University, Changsha, Hunan 410082, China. Tel.: +86 18975852027; E-mail: liqingguoli@aliyun.com.
Abstract: Based on a complete residuated lattice, algebraic fuzzy closure operators and algebraic fuzzy closure L-systems on a fuzzy complete lattice are defined and investigated. We establish a “one-to-one” correspondence between algebraic fuzzy closure operators and algebraic fuzzy closure L-systems under a condition on fuzzy order. Moreover, it is shown that the category of (algebraic) fuzzy closure operator spaces is isomorphic to the category of (algebraic) fuzzy closure L-system spaces.
