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Completion of ordered structures by cuts of fuzzy sets: an overview

✍ Scribed by Branimir Šešelja; Andreja Tepavčević

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
292 KB
Volume
136
Category
Article
ISSN
0165-0114

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✦ Synopsis

The aim of the paper is to present a role of fuzzy sets in the theory of ordered structures. Main algebraic properties of cuts of fuzzy sets are given, and a completion of partially ordered sets to complete lattices is described. It turns out that this completion is equivalent with the famous Dedekind-MacNeille completion, but the algorithm presented here is much simpler.

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