An Algorithm for Decision Tree Construction Based on Rough Set Theory

Author(s):  
Cuiru Wang ◽  
Fangfang Ou
Author(s):  
Wei Jin-Mao ◽  
◽  
Wang Shu-Qin ◽  
Wang Ming-Yang

A new approach is presented, in which rough set theory is applied to select attributes as nodes of a decision tree. Initially, dataset is partitioned into subsets based on different condition attributes, then an attribute is chosen as a node for branching when the size of its corresponding implicit region is smaller than that of all other attributes. This approach is compared to the entropy-based method on some datasets from the UCI Machine Learning Database Repository, which instantiates the performance of the rough set approach. Statistical experiments showed that the proposed approach is feasible for decision-tree construction.


2015 ◽  
Vol 743 ◽  
pp. 390-394
Author(s):  
Liu Liu ◽  
Bao Sheng Wang ◽  
Qiu Xi Zhong ◽  
Hai Liang Hu

Rough set theory is a popular mathematical knowledge to resolve problems which are vagueness and uncertainly. And it has been used of solving the redundancy of attribute and data. Decision tree has been widely used in data mining techniques, because it is efficient, fast and easy to be understood in terms of data classification. There are many approaches have been used to generate a decision tree. In this paper, a novel and effective algorithm is introduced for decision tree. This algorithm is based on the core of discernibility matrix on rough set theory and the degree of consistent dependence. This algorithm is to improve the decision tree on node selection. This approach reduces the time complexity of the decision tree production and space complexity compared with ID3.In the end of the article, there is an example of the algorithm can exhibit superiority.


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