Implicational Concept Graphs

机译：隐含概念图

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This paper introduces implicational concept graphs as special existential concept graphs of power context families and shows how such implicational concept graphs give rise to a mathematical semantics of implications. The advantage of the offered mathematical semantics is that it opens the door to mathematical structure theory with its rich structural insights and patterns of argumentations. As a consequence, it could be proved that the implicational theory of implicational concept graphs is equivalent (in the main) to the theory of attribute implications of formal contexts. This result could even be generalized to an analogue result for clausal concept graphs.

机译：本文介绍了隐含概念图作为幂上下文族的特殊存在概念图，并展示了这些隐含概念图如何产生含义的数学语义。提供的数学语义的优势在于它以其丰富的结构见解和论证模式为数学结构理论打开了大门。结果，可以证明，蕴涵概念图的蕴涵理论（在主要方面）等同于形式上下文的属性蕴涵理论。该结果甚至可以推广为子句概念图的模拟结果。

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来源
《International Conference on Conceptual Structures(ICCS 2004); 20040719-20040723; Huntsville,AL; US》|2004年|P.52-61|共10页
会议地点 Huntsville AL(US);Huntsville AL(US)
作者
Rudolf Wille;
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作者单位

Technische Universitaet Darmstadt, Fachbereich Mathematik, Schlossgartenstr. 7, D-64289 Darmstadt;

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原文格式 PDF
正文语种 eng
中图分类人工智能理论;
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Implicational Concept Graphs

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