%0 Journal Article
%T FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Budimirovic, Branka
%A Budimirovic, Vjekoslav
%A Seselja, Branimir
%A Tepavcevic, Andreja
%D 2013
%\ 08/30/2013
%V 10
%N 4
%P 1-18
%! FUZZY EQUATIONAL CLASSES ARE FUZZY VARIETIES
%K fuzzy algebra
%K Fuzzy identity
%K Fuzzy equality
%K Fuzzy homomorphism
%K Fuzzy direct product
%K Fuzzy equational class
%K Fuzzy variety
%R 10.22111/ijfs.2013.1044
%X 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 fullling the samefuzzy identities, dened 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.
%U https://ijfs.usb.ac.ir/article_1044_5bf147df0d55bc4694ac6bbeda53de19.pdf