The significance measure for attributes in inconsistent decision tables

In this paper, by efficiently utilizing discernibility attribute set, it gives the sufficient and necessary conditions to justify an attribute are indispensable, relatively dispensable or absolutely dispensable in inconsistent decision tables. A variety of discernibility functions also can be constructed, from which the cost for computing the reduction is reduced. This means that it can provide a more efficient computation for knowledge reductions in inconsistent decision tables, especially in large information systems.