Improving Consistency of Comparison Matrices in Analytical Hierarchy Process

Abstract

In the field of decision-making, the concept of priority is archetypal and how priorities are derived influence the choices one makes. Priorities should not only be unique but should also reflect the dominance of the order expressed in the judgments of pair wise comparison matrix. In addition, judgments are much more sensitive and responsive to small perturbations. They are highly related to the notion of consistency of a pair wise comparison matrix simply because when dealing with intangibles, if one is able to improve inconsistency to near consistency then that could improve the validity of the priorities of a decision. This paper endeavors to accomplish nearly consistent matrices in pair wise comparisons by subsiding the effects of hypothetical decisions made by the decision makers. The proposed methodology efficiently improves group decisions by incorporating corrective measures for inconsistent judgments.