Group interval analytic hierarchy process by using a dissatisfaction function

This paper proposes a group consensus making method by using modified AHP (Analytic Hierarchy Process). Many application examples are reported as a decision-making support tool with AHP. However, AHP is a tool on condition of the only one decision-making person, and if it remains as it is, it is inapplicable to group decision-making. Therefore, it is important to establish a group AHP. It has proposed that each group member presents the pairwise comparison value between the evaluation items which self believes, and Saaty makes those geometric average value group pairwise comparison value. On the other hand, Yamada, Sugiyama and Yamaki present that each group member has proposed the pairwise comparison value of self to believe in an interval. This interval is called the interval for assertion. In this paper, an applicable model is proposed when the problem of the group interval AHP method of Yamada et al. is solved. In this paper, by the introduction of the concept of a dissatisfied function, re-defined semantic of the interval for assertion. By using the dissatisfied function, it is impossible to give the rational standard which is the grade in which each member can permit the result of the group decision-making comes out. It is determined that the group decision-making will make all members' dissatisfied size below a certain limit value at this time. A weight vector is given as a solution of the optimization problem accompanied by a parameter, and the relation between dissatisfied limit value and the minimum residual of a model is given as a figure. Therefore, the group that uses this model can choose the own decision-making on intention referring to a figure.