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Avtomatika i Telemekhanika, 1990, Issue 11, Pages 124–135 (Mi at6009)  
Simulation of Behavior and Intelligence

Maximization of generalized characteristic functions of monotone systems

I. B. Muchnika, L. V. Shvartserb

a Institute of Control Sciences, Moscow
b Institute of non-productive sphere, Moscow
Full-text PDF (1827 kB)
Abstract: We consider monotone systems in which the value of the extremal criterion is determined by the worst element in some part of a given subset. Examples of practical data aggregation problems leading to such systems are given. It is shown that the so-called convex geometries (antimatroids) constitute the accessible family of subsets that are responsible for the effectiveness of the extremization algorithms of such criteria.

Received: 25.04.1989
Bibliographic databases:
Document Type: Article
UDC: 517.977.5
Language: Russian
Citation: I. B. Muchnik, L. V. Shvartser, “Maximization of generalized characteristic functions of monotone systems”, Avtomat. i Telemekh., 1990, no. 11, 124–135; Autom. Remote Control, 51:11 (1990), 1562–1572
Citation in format AMSBIB
\Bibitem{MucShv90}
\by I.~B.~Muchnik, L.~V.~Shvartser
\paper Maximization of generalized characteristic functions of monotone systems
\jour Avtomat. i Telemekh.
\yr 1990
\issue 11
\pages 124--135
\mathnet{http://mi.mathnet.ru/at6009}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1093048}
\zmath{https://zbmath.org/?q=an:0731.93006}
\transl
\jour Autom. Remote Control
\yr 1990
\vol 51
\issue 11
\pages 1562--1572
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