Abstract
One of the aim of this paper is to present new properties for the efficient (Pareto) point sets in separated locally convex spaces. Thus, for any non-empty and compact subset, the coincidence result between the set of corresponding Pareto points with respect to a convex cone and the Choquet boundary with respect to a convenient cone of real continuous functions established by us in a previous research work gives interesting topological properties of Pareto sets. An important result shows immediate applications of spline optimal interpolation in multiple criteria decision making problems and two numerical examples based on spline functions in H-locally convex spaces illustrate the possibility of calculus for Choquet boundaries through the agency of Pareto sets and conversely.
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References
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© 1997 Springer-Verlag Berlin Heidelberg
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Postolica, V. (1997). Calculus of Choquet Boundaries Using Pareto Sets. In: Fandel, G., Gal, T. (eds) Multiple Criteria Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 448. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-59132-7_6
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DOI: https://doi.org/10.1007/978-3-642-59132-7_6
Publisher Name: Springer, Berlin, Heidelberg
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