Testing for the rank ordering of the priorities of the alternatives in Saaty's ratio-scale method

Abstract Saaty uses ratio scale ( π 1 , π 2 ,…, π t ) for the values of the alternatives { T 1 , T 2 ,…, T t } for a decision problem. Here, π i / π j is the ratio of the priority of T i to that of T j . In this context, a specific rank ordering of the ratio scale is tested.