Evaluation and ranking of intuitionistic fuzzy qualities

We deal with the problem of evaluating and ranking intuitionistic fuzzy quantitities (IFQs). We call IFQ an intuitionistic fuzzy set (IFS) described by a pair of fuzzy quantities, where a fuzzy quantity is defined as the union of two, or more, convex fuzzy sets that may be non-normal. We suggest an evaluation defined by a pair index based on "value" & "ambiguity" and a ranking method based on them. This new formulation contains as particular cases the ones proposed by Fortemps and Roubens [13], Yager and Filev [24, 25] and follows a completely different approach. © Springer International Publishing 2013.