On fuzzy ideals of fuzzy lattice

On fuzzy ideals of fuzzy lattice

We characterize a fuzzy lattice through a fuzzy partial order relation, define a fuzzy ideal and fuzzy filter of fuzzy lattice, characterize a fuzzy ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is a fuzzy ideal if and only if its support is a c...

Ausführliche Beschreibung

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Bibliographische Detailangaben
Hauptverfasser: Mezzomo, I., Bedregal, B. C., Santiago, R. H. N.
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Educational institutions
Fuzzy sets
Informatics
Lattices
Level set
Upper bound
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Beschreibung
Zusammenfassung:We characterize a fuzzy lattice through a fuzzy partial order relation, define a fuzzy ideal and fuzzy filter of fuzzy lattice, characterize a fuzzy ideal of fuzzy lattice using its level set and its support and show that a subset of a fuzzy lattice is a fuzzy ideal if and only if its support is a crisp ideal. Similarly, we show the same for its level set.
ISSN:1098-7584
DOI:10.1109/FUZZ-IEEE.2012.6251307