 Duddy and Piggins (2012) questioned the use of Hamming distance between judgment sets. The problem is that, when the agenda contains propositions that are logically connected, the Hamming distance may be responsible of double counting because it ignores such interdependencies. Suppose, for example, that two individuals accept propositions q but disagree on \(p\land q\) (so, one individual accepts the conjunction, while the other rejects it). This can happen only if they disagree on p. The Hamming distance between the two judgment sets \(K_1 = \{\neg p, q, \neg(p\land q)\}\) and \(K_{2} = \{p, q, (p\land q)\}\) is 2. It is the disagreement on p that implies the disagreement over \(p\land q\), so the distance should be just 1. The alternative distance proposed in order to address this problem is a distance that takes the smallest number of logically coherent changes needed to convert one judgment set into the other.