On context patterns associated with concept lattices

WinfriedGeyer

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On context patterns associated with concept lattices

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In this paper, we consider the following reconstruction problem: Given two ordered sets (G, ≤) and (M, ≤) representing join- and meet-irreducible elements, respectively together with three relationsJ,,$${hbox{ hbox{$mid$}kern -1emlower .5em hbox{$leftarrow$}}} $$onG×Mmodelling comparability (g≤m) and maximal noncomparability with respect tog(g≰m, butg≤m*) and with respect tom(g≰m, butg≤m*). We determine necessary and sufficient conditions for the existence of a finite latticeLand injections α:G→J(L) and β:M→M(L) such that the given order relations and the abstract relations coincide with the one ind

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《order》 |1993年第4期|363-373|共页
作者
WinfriedGeyer;
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Technische Hochschule Darmstadt;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种英语
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On context patterns associated with concept lattices

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