When ranking fuzzy values, there is an ambiguity in selecting the most-preferred ranked sequence from a collection of candidate sequences because every sequence has a possibility to which the preference relations in the sequence are correct. In this paper, we propose a method for ranking the sequences of fuzzy values that assigns a preference degree to each ranked sequence. Each preference degree indicates the relative preference of the given sequence over the other sequences. The proposed method gives information regarding which sequence could be classified as the most-preferred sequence and which sequences as alternatives. (C) 2003 Elsevier Inc. All rights reserved.