中文摘要：

在群决策理论及应用中，如何获取合理而有效的群决策规则是一个重要的研究内容．针对条件属性具有优劣关系，决策属性取值为模糊值的群决策系统，将每个决策对象的群决策模糊值转化为一个决策区间，由每个对象的不可分辩优势类构建基于优势关系的模糊区间目标信息系统粗糙集模型，给出该模型的三种知识约简定义；通过构造区分矩阵和区分函数，获得求取优势模糊区间决策系统的优势下近似的约简算法．最后将该模型及算法应用于商业银行审计风险评估，获得较为合理的商业银行风险群决策评估规则．

英文摘要：

In group decision-making theory and its applications how to acquire reasonable and effective group decision rules is one of important issues. In recent years, research on combing rough set theory with group decision- making has become one of hot topics in rough set theory. However, group decision rules acquisition based on rough set has been scarcely studied. This paper constructs a dominance relation-based fuzzy interval decision rough set model （RSM） in dominance fuzzy group decision systems where the conditional attributes are taken dominance notion values and the decision attribute is taken fuzzy values through examing the relation between the dominance classes determined by a conditional attribute set and their corresponding fuzzy decision values and proposes three knowledge reduction definitions called as dominance-based lower, dominance-based upper and dominance-based approximation reduction. Using discernibility matrix and discernibility function we devise a kind of lower approximation reduction algorithms for dominance-based fuzzy interval objective information systems. Finallywe apply this model to acquire audit risk assessment rules for bussiness banks and obtain some reasonable audit riskassessment rules for bussiness banks, which can be used to assistant auditors to judge audit risk during bussiness bank auditing. This aprroach presented in this paper can also be applied to other similar fields.