Estimation of Consistency of Fuzzy Pairwise Comparison Matrices using a Defuzzification Method

A definition of consistency of a fuzzy pairwise comparison matrix (FPCM) is developed in the paper. It is supposed that FPCM elements are fuzzy sets with membership functions of any shape. Such FPCMs may be a result of evaluation of decision alternatives by a group of experts when aggregating individual expert judgments made in traditional crisp scales. A comparative analysis of suggested definition with other known definitions of consistent FPCM is done. Usage of suggested definition makes it possible to evaluate the admissibility of inconsistency of expert judgments when calculating weights of decision alternatives and to reveal intransitive expert judgments.