A population-based algorithm for learning a majority rule sorting model with coalitional veto

Abstract

MR-Sort (Majority Rule Sorting) is a multiple criteria sorting method which assigns an alternative a to category Ch when a is better than the lower limit of Ch on a weighted majority of criteria, and this is not true with the upper limit of Ch. We enrich the descriptive ability of MR-Sort by the addition of coalitional vetoes which operate in a symmetric way as compared to the MR-Sort rule w.r.t. to category limits, using specific veto profiles and veto weights. We describe a heuristic algorithm to learn such an MR-Sort model enriched with coalitional veto from a set of assignment examples, and show how it performs on real datasets.