Join-completions of L-ordered sets

Authors:
Kaiyun Wang;Bin Zhao
Affiliations:
College of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi'an, PR China;College of Mathematics and Information Science, Shaanxi Normal University, 710062 Xi'an, PR China
Venue:
Fuzzy Sets and Systems
Year:
2012

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Abstract

In this paper, we build and characterize the join-completions of an L-ordered set, which generalizes the join-completions of a crisp poset. The universal property of join-completions is studied. A categorical characterization of the Dedekind-MacNeille completion for an L-ordered set is presented.