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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