Group Interval Priority Weight Vectors Aggregating Individual Pairwise Comparison Matrices

Abstract

Three group opinion aggregation methods developed in the interval Analytic Hierarchy Process (AHP) are improved in this paper. Individual interval priority weights are estimated from a pairwise comparison matrix given by each member of the group in the interval AHP. Three aggregation methods were proposed for obtaining group interval priority weights. One includes all individual interval priority weights of members, another one is included in all individual interval priority weights of members, and the remaining one intersects all individual interval priority weights of members. They show the range excluding commonly unacceptable values, the maximal agreeable range, and the minimal range including acceptable values for all members. Those aggregation methods are improved by introducing the non-(breakpoint)uniqueness of the solutions to the individual estimation problems of interval priority weights. It is shown that the aggregation methods are performed simply by solving linear programming problems and that the obtained group interval priority weight vectors are more efficient than the previous ones.