Hybrid Method for Multicriteria Items Ordering

Abstract

A hybrid method for ordering multiple criteria items according to a Decision Maker’s (DM’s) preferences is proposed for inverse multicriteria bin-packing problem solving. If such a problem arises repeatedly for different sets of items, estimated upon the same qualitative criteria with the same scales, the STEPCLASS method is applied at the first stage for preliminary multicriteria sorting on the Cartesian product of the criteria scales. Consequently, it allows defining a class for any item without DM input. In the case of the necessity to order the objects from a particular set within a single class more precisely, the UniComBOS method is applied at the second stage. It is shown that it is possible to use a DM’s preferences extracted at the stage of multicriteria sorting as source information for the UniComBOS method.