AHP APPLIED TO BINARY AND TERNARY COMPARISONS

Abstract

In this paper we confine the values of the components of comparison matrix of AHP, to two (θ, θ^<-1>) or three (θ, 1, θ^<-1>) distinct values. The former is called "binary case" and the latter "ternary case". Then we have some beautiful theoretical results if comparison matrices have some regularity conditions. In sports games "win, defeated, tied" just meants to ternary case, and our method serves to estimate true strength of teams from the results of "win, defeated, tied" in a leaugue tournament game.