Title :
On fuzzy ideals of fuzzy lattice
Author :
Mezzomo, Ivan ; Bedregal, Benjamin C. ; Santiago, Regivan H N
Author_Institution :
Rural Fed. Univ. of Semi-Arid - UFERSA, Angicos, Brazil
Abstract :
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.
Keywords :
fuzzy set theory; lattice theory; fuzzy filter; fuzzy ideals; fuzzy lattice; fuzzy partial order relation; level set; Educational institutions; Fuzzy sets; Informatics; Lattices; Level set; Upper bound;
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Conference_Location :
Brisbane, QLD
Print_ISBN :
978-1-4673-1507-4
Electronic_ISBN :
1098-7584
DOI :
10.1109/FUZZ-IEEE.2012.6251307
