Title of article :
Fuzzy universal algebras on L-sets
Author/Authors :
Wei, X Department of Mathematics - Ocean University of China, 238 Songling Road, Qingdao, P.R.China , Yue, Y Department of Mathematics - Ocean University of China, 238 Songling Road, Qingdao, P.R.China
Abstract :
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.
Keywords :
L-valued power algebra , homomorphism , subalgebra , congruence , L-valued relation
