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Xie, Weixian; Zhang, Qiye; Fan, Lei

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

Fuzzy Sets Syst. 160, No. 16, 2292-2316 (2009).
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.

Cited in 17 Documents

MSC:

06A75 Generalizations of ordered sets
06B23 Complete lattices, completions

Keywords:

fuzzy order; \(L\)-fuzzy poset; \(L\)-fuzzy complete lattice; Dedekind-MacNeille completion; completely lattice \(\mathbf L\)-ordered set; concept lattice
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\textit{W. Xie} et al., Fuzzy Sets Syst. 160, No. 16, 2292--2316 (2009; Zbl 1185.06003)
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References:

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