Two-valued measures on a semialgebra of sets and some applications to infinite-dimensional mathematical programming problems

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1989 English Publisher:Springer Science and Business Media LLCJournal:Cybernetics, volume 24, pages 767-773 (issn: 0011-4235, eissn: 1573-8337,

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Authors: Chentsov, A. G.;

doi: 10.1007/bf01079150

Two-valued measures on a semialgebra of sets and some applications to infinite-dimensional mathematical programming problems

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Abstract

Summary: The paper examines the structure of two-valued measures on a semialgebra of sets, investigates their representation in terms of ultrafilters of the given semialgebra, and also considers some applications of these measures as idealizing objects for extremal problems and, in particular, for mathematical programming (MP) problems.

Keywords

Programming in abstract spaces, two-valued measures on a semialgebra of sets

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