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A general approach to attribute reduction in rough set theory

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Abstract

The concept of a consistent approximation representation space is introduced. Many types of information systems can be treated and unified as consistent approximation representation spaces. At the same time, under the framework of this space, the judgment theorem for determining consistent attribute set is established, from which we can obtain the approach to attribute reductions in information systems. Also, the characterizations of three important types of attribute sets (the core attribute set, the relative necessary attribute set and the unnecessary attribute set) are examined.

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References

  1. Pawlak Z. Rough sets. Int J Comp Inf Sci, 1982, 11: 341–356

    Article  MathSciNet  MATH  Google Scholar 

  2. Pawlak Z. Rough Sets — Theoretical Aspects of Reasoning about Data. Dordrecht: Kluwer Academic Publishers, 1991

    MATH  Google Scholar 

  3. Kryszkiewicz M. Comparative study of alternative types of knowledge reduction in insistent systems. Int J Intel Syst, 2001, 16: 105–120

    Article  MATH  Google Scholar 

  4. Zhang W-X, Leung Y, Wu W-Z. Information Systems and Knowledge Discovery. Beijing: Science Press, 2003

    Google Scholar 

  5. Beynon M. Reducts within the variable precision rough sets model: A further investigation. Eur J Oper Res, 2001, 134: 592–605

    Article  MATH  Google Scholar 

  6. Zhang W-X, Mi J-S, Wu W-Z. Approaches to knowledge reductions in inconsistent systems. Int J Intel Syst, 2003, 18: 989–1000

    Article  MATH  Google Scholar 

  7. Qiu G-F, Li H-Z, Xu L-D, et al. A knowledge processing method for intelligent systems based on inclusion degree. Expert Syst, 2003, 20(4): 187–195

    Article  Google Scholar 

  8. Mi J-S, Wu W-Z, Zhang W-X. Approaches to knowledge reduction based on variable precision rough set model. Inf Sci, 2004, 159: 255–272

    Article  MATH  MathSciNet  Google Scholar 

  9. Zhang M, Wu W-Z. Knowledge reduction in information systems with fuzzy decisions. J Eng Math, 2003, 20(2): 53–58

    MATH  Google Scholar 

  10. Leung Y, Wu W-Z, Zhang W-X. Knowledge acquisition in incomplete information systems: a rough set approach. Eur J Oper Res, 2006, 168(1): 164–180

    Article  MATH  MathSciNet  Google Scholar 

  11. Wu W-Z, Zhang M, Li H-Z, et al. Knowledge reduction in random information systems via Dempster-Shafer theory of evidence. Inf Sci, 2005, 174(3–4): 143–164

    Article  MATH  MathSciNet  Google Scholar 

  12. Skowron A, Rauszwer C. The discernibility matrices and functions in information systems. In: Slowinski R, ed. Intelligent Decision Support: Handbook of Applications and Advances of the Rough Set Theory. Dordrecht: Kluwer Academic Publishers, 1992. 331–362

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute for Information and System Sciences, Faculty of Science, Xi’an Jiaotong University, Xi’an, 710049, China

    Zhang WenXiu

  2. School of Management, Xi’an University of Architecture and Technology, Xi’an, 710055, China

    Qiu GuoFang

  3. Information College, Zhejiang Ocean University, Zhoushan, 316004, China

    Wu WeiZhi

Authors
  1. Zhang WenXiu
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  2. Qiu GuoFang
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  3. Wu WeiZhi
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Corresponding author

Correspondence to Zhang WenXiu.

Additional information

Supported by the Major State Basic Research Development Program of China (973 Program) (Grant No. 2002CB312200), and the National Natural Science Foundation of China (Grant Nos. 60673096 and 60373078)

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Zhang, W., Qiu, G. & Wu, W. A general approach to attribute reduction in rough set theory. SCI CHINA SER F 50, 188–197 (2007). https://doi.org/10.1007/s11432-007-0017-6

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  • DOI: https://doi.org/10.1007/s11432-007-0017-6

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