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In this paper we show that the weighted least square (WLS) and the logarithmic least square (LLS) of various methods to solve the mutual evaluation network (MEN) system including the Analytic Hierarchy Process (AHP) and the Analytic Network Process (ANP), are superior to others. Both methods can solve MEN problems without any restrictions of the structure matrix of MEN. We also show that the WLS always gives positive solutions, which generalize the proof by Blankmeyer. We establish the errordoi:10.15807/jorsj.52.221 fatcat:afrrywlqvfdjfj5pf5snu6nwwy