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.
出处
《中山大学学报（自然科学版）》
CAS
CSCD
北大核心
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)
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
D-S evidence theory
inconsistent decision table
generalized decision reduction
assignment reduction
algebraic reduction
