| 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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