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基于D-S证据理论直接求代数约简和代数核
引用本文:曾凡智,卢炎生,黄国顺,文翰.基于D-S证据理论直接求代数约简和代数核[J].中山大学学报(自然科学版),2011,50(5).
作者姓名:曾凡智  卢炎生  黄国顺  文翰
作者单位: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
基金项目: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.

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
收稿时间:2011-03-08;

A Direct Approach for Algebraic Reduction and Core Attributes based on D-S Evidence Theory
ZENG Fanzhi,LU Yansheng,HUANG Guoshung,WEN Han.A Direct Approach for Algebraic Reduction and Core Attributes based on D-S Evidence Theory[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2011,50(5).
Authors:ZENG Fanzhi  LU Yansheng  HUANG Guoshung  WEN Han
Institution:ZENG Fanzhi1,LU Yansheng2,HUANG Guoshung3,WEN Han3 (1.Department of Computer Sciences,Foshan University,Foshan 528000,China,2.School of Computer Science and Technology,Huazhong University of Science and Technology,Wuhan City,430074,3.Science School,China)
Abstract: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 evidence theory,a new approach,which can directly get the algebraic reduction and core attributes for inco...
Keywords:D-S evidence theory  inconsistent decision table  generalized decision reduction  assignment reduction  algebraic reduction  
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