Establishing a Multiple Structures AHP Evaluation by Extending Hierarchies Consistency Analysis

The purpose of this paper is to extend the theory of Hierarchies Consistency Analysis (HCA) to establish a multiple structures evaluation model for the AHP. Traditionally, the AHP process is based on a single evaluation hierarchy, according to statistics and group decision theories, a more objective evaluation will be obtained if we can compromise several estimates. We will construct several different structure schemata for a problem to be analyzed by the AHP, and determine the weight of criteria for all levels of each structure. Finally, we use the weight consistent property and compromise process of the HCA to integrate these AHP models to obtain more objective evaluation result that is as free as possible from structure bias. The multiple structures of AHP model can be regarded as a generalized AHP model; hence the AHP model based on only one hierarchy structure is a special instance of the proposed method.