Abstract: Process of interval-valued decision table plays an essential role in practical problem solving. According to the new notion of relative inclusion degree of intervals,interactive similarity degree of intervals and interactive tolerance relation on interval-valued decision table are proposed, which considers the interactive relation between intervals and improves the accuracy of classification. Attribute reduction and relative attribute reduction in interval-valued decision table based on interactive tolerance relation are then discussed, and approaches for reduction and relative reduction are provided.

Key words: Interval-valued decision table, Relative inclusion degree, Interactive similarity degree, Interactive tolerance relation, Attribute reduction