Abstract: The theory of concept lattices is an efficient tool for knowledge discovery, and is applied to many fields. Considering the information uncertainty in the real world, the paper defined the interal-valued formal decision context. Based on which, the consistence of the interval-valued formal decision context was studied through the relation between condition context and decision context, and further, the reduction of attribute value vectors was studied, which makes the attribute number and interval-value of attribute simpler than before.

Key words: Interval-valued formal decision context, Concept lattices, Consistence, Reduction of attribute value vectors