4.7 Article

The Dedekind-MacNeille completions for fuzzy posets

Journal

FUZZY SETS AND SYSTEMS
Volume 160, Issue 16, Pages 2292-2316

Publisher

ELSEVIER
DOI: 10.1016/j.fss.2008.12.002

Keywords

Fuzzy order; L-fuzzy poset; L-fuzzy complete lattice; Dedekind-MacNeille completion; Completely lattice L-ordered set; L-concept lattice

Funding

  1. National Natural Science Foundation of China [10771011, 10701006]

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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 Belohlavek's completely lattice L-ordered sets is discussed. (C) 2008 Elsevier B.V. All rights reserved.

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