Generating complete set of implications for formal contexts

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摘要

In this paper, a necessary and sufficient condition on which a set of implications is complete is proposed with the help of the notion of model from logic. Besides, using the closure of an attribute subset to a set of implications, we present a formal method to remove the redundant implications from a complete set. Subsequently, we provide an algorithm to generate a complete set of implications and an illustrative example guarantees the availability of the algorithm.

论文关键词:Formal context,Formal concept analysis,Implication,Non-redundant set,Minimal generator

论文评审过程:Received 26 January 2007, Accepted 4 March 2008, Available online 10 March 2008.

论文官网地址:https://doi.org/10.1016/j.knosys.2008.03.001