The rank reversals paradox in management decisions: The comparison of the AHP and COMET methods

Abstract

Making decisions include many areas of human activity, as well as the management of the organization. Actually, decision-making requires a consideration of rapidly changing options from multiple sources. For this reason, the decisionmaking process requires modification, which allows processing of a set of alternatives on the fly. Themost popular method in this field is the AHP method. However, a serious shortcoming is known,which does not allowto reliably carry out this process. This problem is known as the RankReversals phenomenon. The paper identifies the problem and highlights the importance in the context of numerical examples. These examples are also solved by using the COMET method, which uses a pairwise comparison also. The COMET method is completely free of rank reversal paradox and can be used in exchange for the AHP method.