Authors: Šešelja, Branimir
Tepavčević, Andreja 
Title: Fuzzy identities
Journal: IEEE International Conference on Fuzzy Systems
First page: 1660
Last page: 1664
Conference: 2009 IEEE International Conference on Fuzzy Systems; Jeju Island; South Korea; 20 August 2009 through 24 August 2009
Issue Date: 10-Dec-2009
Rank: M33
ISBN: 978-142443597-5
ISSN: 1098-7584
DOI: 10.1109/FUZZY.2009.5277317
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 cutalgebras 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: Fuzzy equality | Groupoid | Subalgebras
Publisher: IEEE

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