Abstract:
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.
