%0 Journal Article
%T Fuzzy universal algebras on $L$-sets
%J Iranian Journal of Fuzzy Systems
%I University of Sistan and Baluchestan
%Z 1735-0654
%A Wei, X.
%A Yue, Y.
%D 2019
%\ 08/20/2019
%V 16
%N 4
%P 175-187
%! Fuzzy universal algebras on $L$-sets
%K $L$-valued relation
%K congruence
%K subalgebra
%K homomorphism
%K $L$-valued power algebra
%R 10.22111/ijfs.2019.4790
%X This paper attempts to generalize universal algebras on classical sets to $L$-sets when $L$ is a GL-quantale. Some basic notions of fuzzy universal algebra on an $L$-set are introduced, such as subalgebra, quotient algebra, homomorphism, congruence, and direct product etc. The properties of them are studied. $L$-valued power algebra is also introduced and it is shown there is an onto homomorphism from $P(A)/R^{+}$ to $P(A/R)$ for any congruence $R$ on $L$-set $A$.
%U https://ijfs.usb.ac.ir/article_4790_412f1336f3fe0b6517f44e76f17396e6.pdf