Title :
α-ideals of fuzzy lattices
Author :
Mezzomo, Ivan ; Bedregal, Benjamin ; Santiago, Regivan H. N.
Author_Institution :
Dept. of Math. Sci., Technol. & Human-DCETH, Rural Fed. Univ. of SemiArid-UFERSA, Angicos, Brazil
Abstract :
We consider the fuzzy lattice notion introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374), define an α-ideals and α-filters for fuzzy lattices and characterize α-ideals and α-filters of fuzzy lattices by using its support and its level set. Moreover, we prove some similar properties to the classical theory of α-ideals and α-filters, such as, the class of α-ideals and α-filters are closed under union and intersection.
Keywords :
fuzzy set theory; α-filters; α-ideals; fuzzy lattice notion; intersection; level set; union; Educational institutions; Electronic mail; Informatics; Lattices; Level set; Upper bound;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608392
