Making Scale with Units by Using Order Statistics from the Normal Distribution in AHP

摘要

AHP (Analytic Hierarchy Process) was created as a method to help us make decision by Tomas Saaty in 1970s and has been widely adopted in various fields such as economic problems, management problems, economic problems, energy problems or city planning etc. in many areas -^sU.S.A., Europe and other areas. In AHP paired comparison is used and the values to answers in paired comparison are ratio-based scale. It is generally said that AHP has a problem such that the values for evaluation do not have units. In order to let the values for evaluation have units, order statistics from the normal distribution are used for the values to answers in paired comparison. By using order statistics for the values to answers in paired comparison, the values for evaluation are obtained, the units of which are the standard deviations of the standard normal distribution( σ = 1) on the basis of 0. Here taking a problem of selecting meals based upon human feeling, AHP is applied so as to obtain the values for evaluation of meal products which make us possible to easily compare our meal preference.