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

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

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- A Direct Approach for Algebraic Reduction and Core Attributes based on D-S Evidence Theory
- Acta Scientiarum Naturalium Universitatis SunYatseni Vol. 50, Issue 5, Pages: 54-58(2011)
- 作者机构：
  
  1. 佛山科学技术学院计算机系,广东,佛山,528000
  2. 
  3. 华中科技大学计算机学院,湖北,武汉,430074
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：2011，
  
  Published Online：25 September 2011，
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A Direct Approach for Algebraic Reduction and Core Attributes based on D-S Evidence Theory. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(5):54-58(2011)
DOI：

A Direct Approach for Algebraic Reduction and Core Attributes based on D-S Evidence Theory. [J]. Acta Scientiarum Naturalium Universitatis SunYatseni 50(5):54-58(2011) DOI：

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.

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.

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

Keywords

D-S evidence theoryinconsistent decision tablegeneralized decision reductionassignment reductionalgebraic reduction

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Related Author

ZENG Fanzhi

LU Yansheng

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School of Computer Science and Technology, Huazhong University of Science and Technology

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