The Research Of Index Scales And Rank Preservation In AHP

In this paper, we will discuss the relationships between four of Index scales. We present a sensitivity analysis approach to the LLSM priority method in analytic hierarchy process (AHP). With respect to an objective and a matrix, the relationships between the original judgement matrix and the changed judgement matrix are obtained while the priority order between two alternatives.On the other hand, this paper analyses the transforming relation between two classes of scales in AHP. A condition of rank preservation is given.At the end of this paper, we discuss the difference between 1? scale and Index scales and the RJ of the four Index scales is given.