序区间值决策系统中的最优可信规则获取  

Acquisition of optimal credible rules in ordered interval-valued decision systems

作　　者：谢军[1,2] 宋余庆[1] 陈健美[1] 孙怀江[2] 杨习贝[2] 

机构地区：[1]江苏大学计算机科学与通信工程学院,江苏镇江212013 [2]南京理工大学计算机科学与技术学院,江苏南京210094

出　　处：《江苏大学学报（自然科学版）》2010年第2期210-214,共5页Journal of Jiangsu University：Natural Science Edition

基　　金：国家自然科学基金资助项目(60841003)

摘　　要：以包灰色含区间值的序值决策系统为研究对象,针对区间值之间不能直接比较的问题,引入灰色系统理论中的白化方法以构建一个新的序白化值决策系统,并讨论了其在优势和弱势关系下的可信规则获取.深入研究了优势和弱势对象的约简以及其决策类的相对约简问题,其中可信规则的约简是保持该可信规则的支持集中的元素不发生变化的最小数量属性的合取.给出相应的判定定理与区分函数,并进行了实例分析.所构建的决策系统为最终从序区间值决策系统中获取最优可信决策规则提供了新的理论基础与操作手段.An ordered decision system for interval value processing was studied.To solve the problem that the interval value could not be compared directly,a method of grey′s whitening was introduced in ordered interval-valued decision system and a new ordered whitening value decision system was constructed.The credible rules of the increasing and decreasing objects could be obtained by this new decision system.The reductions and relative reductions were deeply investigated in terms of the decision classes of these two objects,and a reduction of credible rule was the conjunctions of the smallest number of property,which preserved the support set of such credible rule.Furthermore,the judgment theorems and discernibility functions with respect to these reductions were obtained,and an illustrative example was discussed.The decision system constructed here provides a new theoretical and practical approach to gene-rate all optimal credible decision rules from the ordered decision system.

关 键 词：序值决策系统 粗糙集 区间值 灰色系统 约简 可信规则 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]