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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2007, Volume 47, Number 9, Pages 1636–1648 (Mi zvmmf256)  
This article is cited in 1 scientific paper (total in 1 paper)

Maximum predicate descriptions of sets of mappings

R. S. Takhanov

Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia
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Abstract: The work is carried out in the framework of the algebraic approach and is devoted to the problem of describing sets of mappings by pairs of m-place predicates. Maximum descriptions are distinguished in the set of all predicate descriptions, and necessary and sufficient maximality conditions are obtained. Using a partial order and betweenness relations as examples, it is shown that, for a given predicate on the set of values, the necessary maximality conditions imply some properties of this predicate on its domain. Taking this fact into account, a set of axioms for the betweenness relation is proposed, and examples of such relations are considered.
Key words: predicate description, precedent learning, pattern recognition, algebraic approach.
Received: 07.10.2005
Revised: 05.04.2007
English version:
Computational Mathematics and Mathematical Physics, 2007, Volume 47, Issue 9, Pages 1570–1581
DOI: https://doi.org/10.1134/S0965542507090175
Bibliographic databases:
Document Type: Article
UDC: 519.71
Language: Russian
Citation: R. S. Takhanov, “Maximum predicate descriptions of sets of mappings”, Zh. Vychisl. Mat. Mat. Fiz., 47:9 (2007), 1636–1648; Comput. Math. Math. Phys., 47:9 (2007), 1570–1581
Citation in format AMSBIB
\Bibitem{Tak07}
\by R.~S.~Takhanov
\paper Maximum predicate descriptions of sets of mappings
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2007
\vol 47
\issue 9
\pages 1636--1648
\mathnet{http://mi.mathnet.ru/zvmmf256}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2387670}
\transl
\jour Comput. Math. Math. Phys.
\yr 2007
\vol 47
\issue 9
\pages 1570--1581
\crossref{https://doi.org/10.1134/S0965542507090175}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-34848911013}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    References:44
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