Author :
Branimir Seselja;Andreja Tepavcevic
Author_Institution :
Department of Mathematics and Informatics, Faculty of Sciences, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia
Abstract :
Fuzzy subalgebras of a crisp algebra equipped with a compatible fuzzy equality are investigated. Fuzzy identities with respect to this fuzzy equality are considered. If a fuzzy subalgebra satisfies a fuzzy identity then the quotient cut-algebras over the corresponding cut-congruences fulfill the crisp version of the fuzzy identity. Particular cases of groupoid-like and similar algebras in this framework are also investigated.
Keywords :
"Algebra","Lattices","Books","Fuzzy logic","Mathematics","Informatics","Fuzzy sets"
Conference_Titel :
Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on
Print_ISBN :
978-1-4244-3596-8
DOI :
10.1109/FUZZY.2009.5277317
