THERE IS NO MATHEMATICAL VALIDITY FOR USING FUZZY NUMBER CRUNCHING IN THE ANALYTIC HIERARCHY PROCESS

1. Introduction In this brief note we show that although fuzzy thinking may be useful in some engineering practices where so called crisp numbers are obtained from counting or from using scales of measurement, it is highly controversial and not very useful to use it in decision making where the numbers assigned to judgments are already fuzzy and making them more fuzzy does not help produce more valid outcomes. Not only can this be shown with examples, but what makes our assertion more to the p…