Sorted-Pareto dominance and qualitative notions of optimality
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
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The Pareto dominance relation compares decisions with each other over multiple aspects, and any decision that is not dominated by another is called Pareto optimal, which is a desirable property in decision making. However, the Pareto dominance relation is not very discerning, and often leads to a large number of non-dominated or Pareto optimal decisions. By strengthening the relation, we can narrow down this nondominated set of decisions to a smaller set, e.g., for presenting a smaller number of more interesting decisions to a decision maker. In this paper, we look at a particular strengthening of the Pareto dominance called Sorted-Pareto dominance, giving some properties that characterise the relation, and giving a semantics in the context of decision making under uncertainty. We then examine the use of the relation in a Soft Constraints setting, and explore some algorithms for generating Sorted-Pareto optimal solutions to Soft Constraints problems.