Evaluation of agreement in a group of experts via distances between intuitionistic fuzzy preferences

We propose a method to evaluate a degree (extent) of agreement in a group of experts (individuals) when individual testimonies are intuitionistic fuzzy preference relations, as opposed to traditional fuzzy preference relations commonly employed. Intuitionistic fuzzy preference relations, that in addition to a membership degree (from [0, 1]) include a hesitation margin concerning the membership degree (also from [0, 1]), can better reflect the very imprecision of testimonies (expressing preferences) of individuals during the consensus reaching process. Our solution is based on the calculation of distances between intuitionistic fuzzy preferences. A degree of group agreement is given as a number from [0, 1], where 0 means consensus (in a traditional sense), 1 means full disagreement (dissensus).