序决策信息系统中区间决策规则的获取  

Interval decision rules acquisition in ordered decision information systems

作　　者：管延勇[1] 王洪凯[1] 徐法升[1] 

机构地区：[1]济南大学数学科学学院,济南250022

出　　处：《控制与决策》2014年第9期1611-1616,共6页Control and Decision

基　　金：国家自然科学基金项目(61070241);山东省自然科学基金项目(ZR2010FM035;ZR2011AQ015;ZR2011F003)

摘　　要：在序决策信息系统中,定义区间为支配一个特定的对象同时又被另一个特定的对象所支配的所有对象的集合.以区间为基本知识颗粒,建立新的优势关系粗糙集模型,并由此获取决策值为特定区间范围的区间决策规则.提出区间的约简的概念,构造区分函数计算区间的约简,并由此计算优化区间决策规则.该方法比初始的优势关系粗糙集方法适应性更强,且所得区间决策规则可直接应用于序信息系统的分类问题.In ordered decision information systems, an interval is defined as a set of objects which are dominated by a specific object and meanwhile dominate another specific object. The intervals are taken as basic knowledge granules, and used to develop a new dominance-based rough set approach. With this model, the interval decision rule whose decision values fall into a specific interval can be induced. The reduct of an interval is defined, and the discernibility function is constructed to compute the reducts of the interval. By reducts of an interval, corresponding optimal interval decision rules can be obtained. The proposed approach is more flexible than the original dominance-based rough set approach, and the induced decision rules can be directly used in classification of ordinal data.

关 键 词：粗糙集 优势关系 决策规则 约简 区分函数 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]