Remarks on the concurrent convergence method for a typical mutual evaluation system

A mutual evaluation system deals with a decision making problem including the feedback structure between alternatives and criteria. By incorporating decision makers' intuitive judgments from alternatives to criteria into overall evaluations for alternatives, the mutual evaluation system may be effective to make a consensus among the decision makers of the problem. An analyzing tool of the mutual evaluation system, Concurrent Convergent Method (CCM) by Kinoshita and Nakanishi, has practical advantage. This paper introduces an overall weight vector for criteria into CCM. By using the overall weight vector not for alternatives but for criteria, we demonstrate irrationality of CCM under the Pareto principle.