Abstract
On inference rules in decision formal contexts
Highlights
The theory of formal concept analysis (FCA), originally proposed by Wille 1 in 1982, is oriented towards the discovery of formal concepts and their hierarchical structure at its early stage of development, but nowadays it has shown a trend of multidisciplinary intersection and fusion 2,3,4,5,6,7
We have shown that it is quite important to propose effective inference rules for eliminating more superfluous decision implications of a decision formal context
In this paper we have put forward the strongness criterion to assess the effectiveness of inference rules in decision formal contexts and a stronger inference rule which is more effective than the existing one
Summary
The theory of formal concept analysis (FCA), originally proposed by Wille 1 in 1982, is oriented towards the discovery of formal concepts and their hierarchical structure at its early stage of development, but nowadays it has shown a trend of multidisciplinary intersection and fusion 2,3,4,5,6,7. Zhang and Qiu 34 introduced the notion of there has been little work concerning inference rules in decision formal contexts Such a discussion is quite desirable because different inference rules may lead to different numbers of implications that can be removed from the whole implication set of a decision formal context.
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