 Konieczny and Pino Pérez (1999, 2002) put forward the following postulates for IC fusion operators between equally reliable sources. Let \(E\), \(E_1\), \(E_{2}\), be belief profiles, \(K_1\), \(K_{2}\) be consistent belief bases, and \(\IC\), \(\IC_1\), \(\IC_{2}\), be integrity constraints. \(\Delta\) is an IC fusion operator if and only if it satisfies the following rationality postulates: