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https://open.uns.ac.rs/handle/123456789/28419
Title: | Fuzzy identities with application to fuzzy semigroups | Authors: | Budimirovic Vjekoslav Budimirovic Branka Seselja Branimir Tepavcevic Andreja |
Issue Date: | 2014 | Journal: | Information Sciences | Abstract: | The notion of a fuzzy identity is introduced on a fuzzy subalgebra in the framework of fuzzy equalities instead of the crisp one. A fuzzy identity may be satisfied by a fuzzy subalgebra, while the underlying crisp algebra need not satisfy the analogous crisp identity. Among other properties, it is shown that for every fuzzy subalgebra μ of A there is a least fuzzy equality such that a fuzzy identity holds on μ. As an application, fuzzy semigroups are introduced with respect to a fuzzy equality. In particular, fuzzy semilattices, cancellative and regular fuzzy semigroups are investigated. © 2013 Published by Elsevier Inc. | URI: | https://open.uns.ac.rs/handle/123456789/28419 | ISSN: | 0020-0255 | DOI: | 10.1016/j.ins.2013.11.007 |
Appears in Collections: | PMF Publikacije/Publications |
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