Let \(L\) be an orthoalgebra (a structure generalizing orthomodular posets), \(K\) a ``\(\delta\)-paving'' in \(L\) and \(G\) a Dedekind complete \(\ell\)-group endowed with a locally convex Lebesgue topology. The authors present a decomposition theorem for \(K\)-inner regular order bounded measures \(\mu:L\to G\) into a \(K\)-smooth and a \(K\)-singular measure. Under an additional assumption on \(G\), the authors prove uniqueness of this decomposition and a Yosida-Hewitt decomposition for \(G\)-valued order bounded inner regular set functions.