Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
392694 | Information Sciences | 2014 | 12 Pages |
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 μμ of AA there is a least fuzzy equality such that a fuzzy identity holds on μμ. As an application, fuzzy semigroups are introduced with respect to a fuzzy equality. In particular, fuzzy semilattices, cancellative and regular fuzzy semigroups are investigated.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Branka Budimirović, Vjekoslav Budimirović, Branimir Šešelja, Andreja Tepavčević,