基于D-S证据理论直接求代数约简和代数核  

A Direct Approach for Algebraic Reduction and Core Attributes based on D-S Evidence Theory

作　　者：曾凡智[1] 卢炎生[2] 黄国顺[3] 文翰[3] 

机构地区：[1]佛山科学技术学院计算机系,广东佛山528000 [2]华中科技大学计算机学院,湖北武汉430074 [3]佛山科学技术学院理学院,广东佛山528000

出　　处：《中山大学学报（自然科学版）》2011年第5期54-58,63,共6页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：广东省自然科学基金资助项目(10452800001004185)

摘　　要：针对不一致决策表,现有基于D-S证据理论的处理方法是将它先转化为一致决策表,再对所得的一致决策表计算其广义决策约简.具体算例研究表明,广义决策约简与代数约简有时并不一致.理论证明了广义决策约简仅与分配约简等价,针对不一致决策表,通过修改判断指标,提出一种基于D-S证据理论直接计算其代数约简和代数核的新方法,其正确性得到理论证明和数值算例的验证.For inconsistent decision table, the existing approaches based on D-S evidence theory have to transfer it into consistent one firstly and get a generalized decision reduction. However, the generalized decision reduction is different from algebraic one sometimes. It is proved that generalized decision reduction is just equivalent to assignment reduction whether the table consistent or inconsistent. Under D-S evi- dence theory, a new approach, which can directly get the algebraic reduction and core attributes for inconsistent decision table, is proposed and its correctness is illustrated with numerical example.

关 键 词：D-S证据理论 不一致决策表 广义决策约简 分配约简 代数约简 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]