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A new method for consistency adjustment of fuzzy preference relations matrix in computer-mediated Decision Making Groups was advanced. This method is based on the definition of satisfaction consistency which comes out of two axioms (connexity and transitivity) advanced by Arrow. A new target matrix R was presented, as a result of iteration, the mediation matrix was provided with the satisfaction consistency. Attribute to the present of the target matrix R, the iteration steps were reduced and more preference information was saved in the calculated mediation matrix, thus, more intentions of decision-makers were saved in Group Decision. The course of the proposed method and its predominance were illustrated by an experiment example.