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In this paper we give several characterizations for fuzzy ideals, fuzzy homomorphisms, and fuzzy congruences of an almost distributive lattice. In addition, the quotient of an almost distributive lattice induced by a fuzzy congruence is also presented in the paper. Furthermore, we obtain a kind of fuzzy congruences for which their quotient is a distributive lattice and for which it is not. Mainly, we construct a monomorphism of the lattice of fuzzy ideals into the lattice of fuzzy congruences of almost Boolean rings, and we give a necessary and sufficient condition for this monomorphism to become a lattice isomorphism.