Non-linear Methods for Ranking Qualitative Non-monotone Decision Preferences

One approach to option ranking in qualitative decision making is first to automatically construct a quantitative evaluation model using the qualitative and quantitative (QQ) method and then use the quantitative model for ranking. However, the quantitative model constructed by QQ, which uses linear techniques, fails to provide consistent and complete option ranking of non-monotone decision preferences. In this paper we investigate alternative methods for consistent and complete option ranking of nonmonotone preferences by using non-linear techniques. Results show that non-linear methods are superior to linear techniques, when dealing with non-monotone two-attribute decision problems.