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Classification of Infinite Information Systems

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Rough Sets and Current Trends in Computing (RSCTC 2000)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2005))

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Abstract

In the paper infinite information systems are investigated which are used in pattern recognition,discrete optimization, computational geometry. The depth and the size of deterministic and nondeterministic decision trees over such information systems are studied. A partition of the set of all infinite information systems on two classes is considered. Systems from the first class are near to the best from the point of view of deterministic and nondeterministic decision tree time and space complexity. Decision trees for systems from the second class have in the worst case large time or space complexity. In proofs (which are too long and not included to the paper) methods of test theory [1,2] and rough set theory [8,9] are used.

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References

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Author information

Authors and Affiliations

  1. Research Institute for Applied Mathematics, Cybernetics of Nizhny Novgorod State University, 10,Uljanova St., 603005, Nizhny Novgorod, Russia

    Mikhail Moshkov

Authors
  1. Mikhail Moshkov
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Editor information

Editors and Affiliations

  1. Department of Computer Science, University of Regina Regina, S4S 0A2, Saskatchewan, Canada

    Wojciech Ziarko  & Yiyu Yao  & 

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Moshkov, M. (2001). Classification of Infinite Information Systems. In: Ziarko, W., Yao, Y. (eds) Rough Sets and Current Trends in Computing. RSCTC 2000. Lecture Notes in Computer Science(), vol 2005. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45554-X_23

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  • DOI: https://doi.org/10.1007/3-540-45554-X_23

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43074-2

  • Online ISBN: 978-3-540-45554-7

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