The inconsistent degree of an inconsistent decision table.

*(Chinese. English summary)*Zbl 1313.68249Summary: The definition of inconsistent decision rule pairs is proposed in an inconsistent decision information system with inconsistent decision rules. It is relatively complicated by using a discernibility matrix to extract inconsistent decision rule pairs from an inconsistent decision table with many objects or attributes. Inclusion degree is used to screen the equivalence classes which can produce inconsistent decision rule pairs, then a discernibility matrix is employed to extract inconsistent decision rule pairs, and the number is calculated. The number can be also calculated by the component of a generalized decision function directly. And then the inconsistent degree of the inconsistent decision table is computed. Finally, the relationship of inconsistent degree between the original inconsistent decision table and the reduced inconsistent decision table is studied.

##### MSC:

68T37 | Reasoning under uncertainty in the context of artificial intelligence |