Integrating Approximation and Interactive Decision Making in Multicriteria Optimization

Integrating Approximation and Interactive Decision Making in Multicriteria Optimization

We present a new interactive hybrid approach for solving multicriteria optimization problems where features of approximation methods and interactive approaches are incorporated. We produce rough approximations of the nondominated set and let the decision maker indicate with the help of reference points where to refine the approximation. In this way, (s)he iteratively directs the search towards ...

Multicriteria Optimization and Decision Making

Spatial Multicriteria Decision Making

DEFINITION Multicriteria analysis is generally defined as “a decision-aid and a mathematical tool allowing the comparison of different alternatives or scenarios according to many criteria, often conflicting, in order to guide the decision maker towards a judicious choice” [12]. The set of decision alternatives considered in a given problem is often denoted by A and called the set of potential a...

Unbiased approximation in multicriteria optimization

Algorithms generating piecewise linear approximations of the nondominated set for general, convex and nonconvex, multicriteria programs are developed. Polyhedral distance functions are used to construct the approximation and evaluate its quality. The functions automatically adapt to the problem structure and scaling which makes the approximation process unbiased and self-driven. Decision makers...

Choquet Optimization Using GAI Networks for Multiagent/Multicriteria Decision-Making

This paper is devoted to preference-based recommendation or configuration in the context of multiagent (or multicriteria) decision making. More precisely, we study the use of decomposable utility functions in the search for Choquet-optimal solutions on combinatorial domains. We consider problems where the alternatives (feasible solutions) are represented as elements of a product set of finite d...