Authors: Šešelja, Branimir
Tepavčević, Andreja 
Title: Fuzzifying closure systems and fuzzy lattices
Journal: Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume: 4482 LNAI
First page: 111
Last page: 118
Conference: 11th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computer, RSFDGrC 2007; Toronto; Canada; 14 May 2007 through 17 May 2007
Issue Date: 1-Dec-2007
Rank: M23
ISBN: 978-3-540-72530-5
ISSN: 0302-9743
DOI: 10.1007/978-3-540-72530-5_13
A fuzzifying closure system is introduced as a fuzzy set on the collection of subsets of a nonempty set. It is proved that this structure is a particular fuzzy lattice ordered poset. Conversely, every lattice ordered poset is isomorphic to a fuzzifying closure system. In particular, each complete fuzzy lattice is representable by a fuzzifying closure system.
Keywords: Fuzzifying closure system | Fuzzy complete lattice | Fuzzy lattice | Lattice ordered fuzzy poset
Publisher: Springer Link

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