Title :
Fuzzy α-ideals of collapsed sum operator on bounded fuzzy lattices
Author :
Mezzomo, Ivan ; Bedregal, Benjamin ; Santiago, Regivan ; Reiser, R.
Author_Institution :
Dept. of Math. Sci., Technol. & Humanities - DCETH, Rural Fed. Univ. of SemiArid- UFERSA, Angicos, Brazil
Abstract :
We consider the notion of fuzzy lattices introduced by Chon and characterize fuzzy ideals in terms of the collapsed sum operator between two bounded fuzzy lattices L and M. We also define fuzzy a-ideals in fuzzy lattices and demonstrate the relation between fuzzy a-ideals of the collapsed sum on bounded fuzzy lattices.
Keywords :
fuzzy set theory; lattice theory; mathematical operators; bounded fuzzy lattices; collapsed sum operator; fuzzy α-ideals; Educational institutions; Electronic mail; Informatics; Lattices; Topology; Upper bound;
Conference_Titel :
Norbert Wiener in the 21st Century (21CW), 2014 IEEE Conference on
Conference_Location :
Boston, MA
DOI :
10.1109/NORBERT.2014.6893864