计算机科学 ›› 2015, Vol. 42 ›› Issue (5): 265-269.doi: 10.11896/j.issn.1002-137X.2015.05.053

• 人工智能 • 上一篇    下一篇

基于差异关系的变精度粗糙集知识约简算法研究

焦 娜   

  1. 华东政法大学信息科学与技术系 上海201620
  • 出版日期:2018-11-14 发布日期:2018-11-14
  • 基金资助:
    本文受国家社科基金青年项目(13CFX049),上海高校青年教师培养资助

Research on Knowledge Reduction Algorithm Based on Variable Precision Tolerance Rough Set Theory

JIAO Na   

  • Online:2018-11-14 Published:2018-11-14

摘要: 有效的知识约简算法是粗糙集理论的重要研究内容。粗糙集是一个去掉冗余特征的有效工具。经典的粗糙集方法要求数值用离散数据表达,对于连续值则在处理前必须进行离散化处理。真实数据往往存在连续值,为了避免运用粗糙集方法所必需的离散化过程带来的信息丢失,将差异关系应用于粗糙集的知识约简。为进一步增强差异关系粗糙集对噪声数据的适应能力,提出基于差异关系的变精度粗糙集知识约简算法,并分析差异关系下变精度粗糙集模型参数的特性,给出依赖度和参数范围关系描述,将参数取值从点扩展到区间范围。在UCI数据库的数据集上进行实验,结果证明了所提方法及相关理论的有效性。

关键词: 粗糙集理论,差异关系,变精度,参数范围,属性依赖度

Abstract: Knowledge reduction is an important research issue in rough set theory.Rough set theory is an efficient mathematical tool for further reducing redundancy.The main limitation of traditional rough set theory is the lack of effective methods for dealing with real-valued data.However,practical data sets are always continuous.This has been addressed by employing discretization methods,which may result in information loss.This paper investigated one approach combining tolerance relation together with rough set theory.In order to enhance the ability to adapt to the noise data,this paper explored the knowledge reduction algorithm based on variable precision tolerance rough set theory.The cha-racteristics of parameter were analyzed.The relationship between the classification quality and parameter interval was described,and the parameter value was extended to interval range.The experimental results demonstrate that our proposed algorithm and the related theory are effective.

Key words: Rough set theory,Tolerance relation,Variable precision,Parameter interval,Degree of dependency of feature

[1] Pawlak Z.Rough sets[J].International Journal of Information Computer Science,1982,11(5):341-356
[2] Ziarko W.Variable precision rough set model[J].Journal ofComputer and System Sciences,1993,46:39-59
[3] Katzberg J D,Ziarko W.Variable precision rough sets withasymmetric bounds[C]∥Ziarko W.ed.Proceedings of Rough Sets,and Fuzzy Sets and Knowledge Discovery(RSKD’93).London:Springer-Verlag,1994:167-176
[4] Mi J S,Wu W Z,Zhang W X.Approaches to knowledge reduction based on variable precision rough set model[J].Information Sciences,2004,159(3):255-272
[5] 张贤勇,莫智文.变精度粗糙集[J].模式识别与人工智能,2004,17(2):151-155
[6] Zhang X Y,Mo Z W,Xiong F,et al.Comparative study of variable precision rough set model and graded rough set model[J].International Journal of Approximate Reasoning,2012,53(1):104-116
[7] Zhang H Y,Leung Y,Zhou L.Variable-precision-dominance-based rough set approach to interval-valued information systems[J].Information Sciences,2013,244(20):75-272
[8] Yao Y Y.Probabilistic rough set approximations[J].International Journal of Approximate Reasoning,2008,49(2):255-271
[9] Yao Y Y,Yao B X.Covering based rough set approximations[J].Information Sciences,2012,200:91-107
[10] 苗夺谦,胡桂荣.知识约简的一种启发式算法[J].计算机研究与发展,1999,36(6):681-684
[11] Yang X B,Xie J,Song X N,et al.Credible rules in incomplete decision system based on descriptors[J].Knowledge-Based Systems,2009,22:8-17
[12] Yu Y,Pedrycz W,Miao D Q.Neighborhood rough sets based multi-label classification for automatic image annotation[J].Journal of Approximate Reasoning,2013,54(9):1373-1387
[13] 王国胤.Rough集理论与知识获取[M].西安:西安交通大学出版社,2001
[14] 苗夺谦.粗糙集理论中连续属性的离散化方法[J].自动化学报,2001,27(3):296-302
[15] Jensen R,Shen Q.Tolerance-based and fuzzy-rough feature selection[C]∥Proceedings of the 16th International Conference on Fuzzy Systems (FUZZ- IEEE’07).2007:877-882
[16] Parthaláin N M,Shen Q.Exploring the boundary region of to-lerance rough sets for feature selection[J].Pattern Recognition,2009,42:655-667
[17] Shen Q,Chouchoulas A.A rough-fuzzy approach for generating classification rules[J].Pattern Recognition,2002,5:2425-2438
[18] Grzymala-Busse J W.Discretization of numerical attributes[M]∥Klsgen W,Zytkow J,eds.Handbook of Data Mining and Knowledge Discovery.Oxford University Press,2002:218-225
[19] Grzymala-Busse J W,Grzymala-Busse W J.Handling missing attribute values[M]∥ Maimon O,Rokach L,eds.Handbook of Data Mining and Knowledge Discovery.2005:37-57
[20] Min F,Zhu W.Attribute reduction of data with error ranges and test costs[J].Information Sciences,2012,211:48-67
[21] Zhao H,Min F,Zhu W.Cost-Sensitive Feature Selection of Numeric Data with Measurement Errors[J].Journal of Applied Mathematics,2013,2013

No related articles found!
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
No Suggested Reading articles found!