 Obviously \(Tr(g, h^*)\) takes its maximum value 1 if and only if \(g\) is equivalent to \(h^*\). If \(g\) is a tautology, i.e., the disjunction of all elements \(h_{i}\) of \(B\), then \(Tr(g,h^*) = 1 - b\). If \(Tr(g, h^*) \lt 1 - b\), \(g\) is misleading in the strong sense that its cognitive value is smaller than that of complete ignorance.