  One of the methods to obtain Frobenius manifold structures is via DGBV
(differential Gerstenhaber-Batalin-Vilkovisky) algebra construction. An
important problem is how to identify Frobenius manifold structures constructed
from two different DGBV algebras. For DGBV algebras with suitable conditions,
we show the functorial property of a construction of deformations of the
multiplicative structures of their cohomology. In particular, we show that
quasi-isomorphic DGBV algebras yield identifiable Frobenius manifold
structures.
