有序决策表中的第三种不一致

现实世界中的有序性问题，反映在决策表上相当于在表的属性域上加上优先关系(preferential ordering)或者说是序关系的语义，这种决策表称为有序决策表，有序决策表中的条件属性又称为指标(criterion)，有序决策表中的对象在各个指标上有排序，在决策属性上又有一个总的排序。文献1，2]指出对于有序决策表中存在一种普通的粗糙集模型不能识别的不一致，并以基于支配关系(dominance relation)的粗糙集模型(dominance-based rough set approach or DRSA)代替基于等价关系的经典粗糙集模型(classic rough set approach or CRSA)，DRSA可以处理这种不一致，文中则进一步指出有序决策表中还存在另一种不一致，不仅在应用上进一步完善了对有序表的处理，而且在理论上丰富了粗糙集中不一致的内涵。

A Third Kind of Inconsistency in Ordered Decision Table

In rough sets,sorting problems can be dealt with by an ordered decision table.There are linear order in the domains of the condition attributes and decision attribute of an ordered decision table,in which the condition attributes can be also called criterion.The documents1,2] point out that there is a kind of inconsistency that can not be discerned by CRSA and proposed an extended rough set model called dominance-based rough set approach(DRSA) by replacing equivalence relation with dominance relation,which can deal with this new kind of inconsistency.A third kind of inconsistency is introduced in the paper which not only further can sophisticaty the disposal of ordered decision table,but also enriches the connotation of inconsistency in rough set.