  In this paper, the quantitative entropy-cost type propagation of chaos for
mean field interacting particle system is obtained, where the interaction is
bounded and the initial distribution of mean field interacting particles
converges to that of corresponding McKean-Vlasov SDEs in $L^1$-transportation
cost $\W_1^\Psi$ induced by some cost function $\Psi$. In the finite dimension
case, the interaction is merely assumed to be bounded measurable and the noise
can be multiplicative, while for the semi-linear SPDEs, the interaction is
required to be bounded and Dini continuous. In addition, an example is
presented for the infinite model.
