Convergence of Hausdorff approximation methods for the Edgeworth-Pareto hull of a compact set

DOI10.1134/S0965542515110068zbMath1343.49050MaRDI QIDQ267547

Roman V. Efremov

Publication date: 8 April 2016

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

polyhedral approximationconvex bodiesmulticriteria optimizationEdgeworth-Pareto hullestimate refinement methodHausdorff methods

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53)

Cites Work

• Theory of multiobjective optimization
• A class of adaptive algorithms for approximating convex bodies by polyhedra
• Approximation of the Pareto-hull of a convex set by polyhedral sets
• Analysis of an algorithm for approximating convex bodies
• Interactive decision maps. Approximation and visualization of Pareto frontier
• Construction of the convex hull of a finite set of points when the computations are approximate
• Types and boundary uniqueness of polypentagons
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