Take the utility function from a bunch of POMDPs and combine them together using a fusion function.

\begin{equation} U^{*}(b,a) = f(U^{*}(b_1, a) … U^{*}(b_{n}, a) \end{equation}

where \(f\) can be `sum`

or `min`

. The overall belief \(b\) is simply \(B_1 \times … \times B_{n}\), which combines all beliefs together.