There is currently a great deal of interest in quantitative methods for decision making. However, many such methods depart from the axioms of decision analysis, and can therefore generate misleading recommendations under some circumstances, so are not truly prescriptive methods. Some of the most popular of such non-decision-analytic methods include fuzzy-set theory for the representation of uncertainties, and the analytic-hierarchy process for the representation of preferences or value judgments. While there may occasionally be justification for such methods in applications (e.g., based on ease of use), decision analysts would argue for multi-attribute utility theory as the gold standard to which other methods should be compared, based on its rigorous axiomatic basis.