## The Dedekind-MacNeille completions for fuzzy posets.(English)Zbl 1185.06003

Summary: In this paper, the Dedekind-MacNeille completion for an $$L$$-fuzzy poset, previously introduced by the authors, is built and characterized, which generalizes the Dedekind-MacNeille completion for an ordinary poset. The relationship between the $$L$$-fuzzy complete lattices defined by the authors and Bělohlávek’s completely lattice $$\mathbf L$$-ordered sets is discussed.

### MSC:

 06A75 Generalizations of ordered sets 06B23 Complete lattices, completions
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### References:

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