Title :
Operations on bounded fuzzy lattices
Author :
Mezzomo, Ivan ; Bedregal, Benjamin ; Santiago, Regivan H. N.
Author_Institution :
Dept. of Math. Sci., Rural Fed. Univ. of SemiArid - UFERSA, Angicos, Brazil
Abstract :
We consider the notion of fuzzy lattice introduced by Chon (Korean J. Math 17 (2009), No. 4, 361-374), and define the operations of product and collapsed sum on bounded fuzzy lattice analogous to the classical theory. Also, we prove that the product and collapsed sum on bounded fuzzy lattices are fuzzy posets and, consequently, bounded fuzzy lattices.
Keywords :
fuzzy set theory; bounded fuzzy lattice; classical theory; fuzzy posets; Educational institutions; Electronic mail; Informatics; Lattices; Sections; Upper bound;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608391
