FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
نویسندگان
1 College for professional studies for teachers, Sabac, Serbia
2 College for professional studies for teachers,Sabac, Mega- trend University, Beograd, Serbia
3 Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
4 Department of Mathematics and Informatics, University of Novi Sad, Novi Sad, Serbia
doi
10.22111/ijfs.2013.1044چکیده
In the framework of fuzzy algebras with fuzzy equalities and acomplete lattice as a structure of membership values, we investigate fuzzyequational classes. They consist of special fuzzy algebras ful lling the samefuzzy identities, de ned with respect to fuzzy equalities. We introduce basicnotions and the corresponding operators of universal algebra: construction offuzzy subalgebras, homomorphisms and direct products. We prove that everyfuzzy equational class is closed under these three operators, which means thatsuch a class is a fuzzy variety.
