In many practical situations, we need to decide whether a given solution is good enough, based on the degrees ai to which different criteria are satisfied. In this paper, we show that natural requirements lead to the weighted average decision, according to which a solution is acceptable if w1 * a1 + ... + wn * an > t for some weights wi and threshold t.
Technical Report: UTEP-CS-11-47
To appear in Journal of Uncertain Systems, 2012, Vol. 6, No. 2.