Abstract
This paper focuses on the relationship between L-posets and complete L-lattices from the categorical view. By considering a special class of fuzzy closure operators, we prove that the category of complete L-lattices is a reflective full subcategory of the category of L-posets with appropriate morphisms. Moreover, we characterize the Dedekind-MacNeille completions of L-posets and provide an equivalent description for them.
Citation
Hongping Liu. Qingguo Li. Xiangnan Zhou. "Reflective Full Subcategories of the Category of -Posets." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/891239
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