Title :
Fuzzy equational classes
Author :
Branka Budimirović;Vjekoslav Budimirović;Branimir Šešelja;Andreja Tepavčević
Author_Institution :
Megatrend University, 11000 Belgrade, Serbia
fDate :
6/1/2012 12:00:00 AM
Abstract :
The paper deals with fuzzy equational classes. These are defined as classes of particular fuzzy algebras refering to a fuzzy equality (which replaces the crisp one), closed with respect to fuzzy identities. In this fuzzy framework we introduce basic notions of universal algebra, (fuzzy) subalgebras, homomorphisms and direct products. Our main result is that every fuzzy equational class is closed under these three constructions, hence forming a fuzzy variety.
Keywords :
"Lattices","Fuzzy sets","Educational institutions","Electronic mail","Structural rings","Computational intelligence"
Conference_Titel :
Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on
Print_ISBN :
978-1-4673-1507-4
DOI :
10.1109/FUZZ-IEEE.2012.6251259
