Group Decision as Approximation of Individual Interval Weights by Interval Ahp

The individual decision in this study is denoted as interval weights of alternatives. Based on the idea that the inconsistency among comparisons stems from the uncertainty of the weights in a decision maker’s mind in giving them, the uncertain weight is assumed as interval in Interval AHP. Then, the group interval weight is obtained as an approximation of the individual interval weights based on the satisfaction and dissatisfaction of each decision maker. The condition of the group decision is to have some common to all decision makers’ for a consensus. S/he is satisfied more with the group decision, as it reflects his/her decision more. The satisfaction is defined as the range of the group decision supported by him/her. While, s/he is dissatisfied with the group decision, when it is different from his/hers so that the dissatisfaction is defined as the range of the group decision which is not supported by him/her. In the proposed model, the satisfaction and dissatisfaction is maximized and minimized, respectively, under the group decision condition. As a result the deviations of the upper and lower bounds of the group and individual interval weights are minimized.