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Rough sets

  • Published: October 1982
  • Volume 11, pages 341–356, (1982)
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Rough sets
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  • Zdzisław Pawlak1 
  • 6767 Accesses

  • 12k Citations

  • 10 Altmetric

  • 3 Mentions

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Abstract

We investigate in this paper approximate operations on sets, approximate equality of sets, and approximate inclusion of sets. The presented approach may be considered as an alternative to fuzzy sets theory and tolerance theory. Some applications are outlined.

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References

  1. E. Konrad, E. Orłowska, and Z. Pawlak,An approximate concept learning (Berlin, Bericht, 1981), pp. 81–87.

  2. W. Marek and Z. Pawlak, “Rough sets and information systems,”ICS PAS Reports (441) (1981).

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  6. E. Orłowska and Z. Pawlak, “Measurement and observability, Application of rough sets,” (to appear).

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  12. A. Robinson,Non-standard analysis (North-Holland Publishing Company, Amsterdam, 1966).

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Author information

Authors and Affiliations

  1. Institute of Computer Sciences, Polish Academy of Sciences, P.O. Box 22, 00-901, Warsaw, PKiN

    Zdzisław Pawlak

Authors
  1. Zdzisław Pawlak
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Cite this article

Pawlak, Z. Rough sets. International Journal of Computer and Information Sciences 11, 341–356 (1982). https://doi.org/10.1007/BF01001956

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  • Received: 15 June 1981

  • Revised: 15 September 1982

  • Issue date: October 1982

  • DOI: https://doi.org/10.1007/BF01001956

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Key words

  • Artificial intelligence
  • automatic classification
  • cluster analysis
  • fuzzy sets
  • inductive reasoning
  • learning algorithms
  • measurement theory
  • pattern recognition
  • tolerance theory
Use our pre-submission checklist

Avoid common mistakes on your manuscript.

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