The Analytic Hierarchy Process: The Possibility Theorem for Group Decision making

Kirti Peniwati
PPM Graduate School of Management

Publication date: Jul, 1996

Journal: Proceedings of the 4th International Symposium on The Analytic Hierarchy Process

Publisher: Creative Decisions Foundation

Abstract: Arrow's Impossibility Theorem says that it is generally impossible to derive arational group choice from ordinal comparisons made by the individual members. This paper demonstrates that, at appropriate consistency levels, and with the use of judgments on a cardinal scale, the Analytic Hierarchy Process negates Arrow's impossibility. Arrow's conditions are satisfied when aggregation is done at the judgment level when individual judgments are consistent, and at the priority level when they are near consistent.

Keywords: Group decisions making