基于不协调置信优势原理关系的知识约简

Approach to Knowledge Reduction Based on Inconsistent Confidential Dominance Principle Relation

置信优势关系粗糙集用于处理不完备有序决策系统,知识约简是核心问题之一。在不完备有序决策系统下区分两个对象需考虑决策值之间的偏好关系,因此给出置信优势原理关系的定义,将满足此关系的对象视为是不可区分的。提出不协调优势原理关系下的约简定义,进一步给出约简的判定定理和辨识矩阵,从而提供了在不完备有序决策系统下新的知识约简方法。通过实例验证了新的知识约简方法的有效性。

Confidential dominance relation based rough set model is used to deal with incomplete ordered decision system,in which knowledge reduction is one of the most important problems. In order to discern two objects in IODS, their decision preference should be taken into account. This paper proposed a knowledge reduction approach based on inconsistent confidential dominance principle relation, with which two objects are discernable. Furthermore, the judgment theorems and the discernable matrix are investigated, from which we can obtain a new approach to knowledge reduction in ordered decision system. An example illuminates effectiveness of the new reduction.