Construct fuzzy lattices from a given symmetric complete lattice

Fuzzy lattices are the basic objects which L-fuzzy topology bases on. We study relations of fuzzy lattices and symmetric complete lattices from category points of view. A relevant fuzzy lattice ω ( L) and a relevant symmetric complete Heyting algebra ϕ( L) are constructed from a given symmetric comp...

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Bibliographic Details
Published in:Fuzzy sets and systems 1994-09, Vol.66 (3), p.357-362
Main Author: Luo-Shan, Xu
Format: Article
Language:English
Subjects:
Algebra
Congruence
Functor
Fuzzy lattice
Topology
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Summary:Fuzzy lattices are the basic objects which L-fuzzy topology bases on. We study relations of fuzzy lattices and symmetric complete lattices from category points of view. A relevant fuzzy lattice ω ( L) and a relevant symmetric complete Heyting algebra ϕ( L) are constructed from a given symmetric complete lattice L. We prove that the constructions ω and ϕ are two functors and they have reflective properties over relevant categories.
ISSN:0165-0114
1872-6801
DOI:10.1016/0165-0114(94)90103-1