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On constructing a metric on a dominating cone. I. (English. Russian original) Zbl 1081.90057
Autom. Remote Control 65, No. 4, 577-586 (2004); translation from Avtom. Telemekh. 2004, No. 4, 81-90 (2004).
Summary: The notion of a pseudometric on a dominating cone is introduced, which allows to compare elements of the cone quantitatively. This metric is a generalization of the metric in pseudoeuclidean spaces in the case when the pseudoball is not a hyperboloid but a convex subset with a certain stability property with respect to the dominating cone.

MSC:
90C29 Multi-objective and goal programming
90C25 Convex programming
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