 Decomposition Suppose \(\mathfrak{I}\) is a legitimate inaccuracy measure and \(\mathfrak{D}\) is a distance measure such that \(\mathfrak{I}(c, w) = \mathfrak{D}(v_w, c)\). Then  \[\mathfrak{I}(c, w) = \mathfrak{D}(v_w, c) = \mathfrak{D}(c^w, c) + \mathfrak{D}(v_w, c^w)\]