中山大学学报自然科学版 ›› 2011, Vol. 50 ›› Issue (5): 54-58.

• 研究论文 • 上一篇    下一篇

基于D-S证据理论直接求代数约简和代数核

曾凡智1, 卢炎生2,黄国顺3,文 翰3
  

  1. (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)
  • 收稿日期:2011-03-08 修回日期:1900-01-01 出版日期:2011-09-25 发布日期:2011-09-25

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

ZENG Fanzhi1, LU Yansheng2,HUANG Guoshung3 ,WEN Han3   

  1. (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,China;3. Science School, Foshan University, Foshan 528000, China)
  • Received:2011-03-08 Revised:1900-01-01 Online:2011-09-25 Published:2011-09-25

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

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 inconsistent decision table, is proposed and its correctness is illustrated with numerical example.

Key words: D-S evidence theory, inconsistent decision table, generalized decision reduction, assignment reduction, algebraic reduction

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