  In this paper, we give some properties of fuzzy Riesz homomorphism on fuzzy
Riesz space. We give definitions of fuzzy quotient spaces, and some
characterizations of fuzzy Archimedean quotient spaces. We prove the properties
which fuzzy Riesz homomorphism is fuzzy order continuous, and study the
extension of fuzzy lattice homomorphism and the extension of fuzzy order
continuous lattice homomorphism. Finally, we investigate the factorization by
fuzzy Riesz homomorphisms.
