Simple Search

Query:

Enter a query and click »Search«...

Format:

Display: entries per page entries

Zbl 1020.06005
Šešelja, Branimir; Tepavčević, Andreja
Completion of ordered structures by cuts of fuzzy sets: An overview. (English)
[J] Fuzzy Sets Syst. 136, No.1, 1-19 (2003). ISSN 0165-0114

Summary: 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.

MSC 2000:: *06B23 Complete lattices
03E72 Fuzzy sets (logic)

Keywords: partially ordered set; fuzzy set; cut; canonical representation; completion

Cited in: Zbl 1070.03034

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Simple Search

Zentralblatt MATH Berlin [Germany]