 Abhaya Nayak (1994) has proposed a model of iterated belief change in which both the belief states and the inputs are binary relations that satisfy the standard entrenchment postulates except Minimality. Inputs of this type may be seen as “fragments” of belief states, to be incorporated into the previous belief state. In the same vein, Eduardo Fermé and Hans Rott (2004) have investigated belief revision with inputs of the more general form: “accept \(q\) with a degree of plausibility that at least equals that of \(p\)”. They call this revision by comparison. Belief states are represented by entrenchment orderings. Hence, from an entrenchment ordering \(\le\) and such a generalized input a new entrenchment ordering \(\le '\) is obtained that contains the information needed to construct the new belief set. 