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Algorithmic Problems. Global Approach

  • Mikhail MoshkovEmail author
Chapter
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Part of the Intelligent Systems Reference Library book series (ISRL, volume 179)

Abstract

In this chapter, we study algorithmic problems related to the global approach to the investigation of decision trees: problems of computation of the minimum complexity of deterministic, nondeterministic, and strongly nondeterministic decision trees, problems of construction of decision trees with the minimum complexity, and the problem of solvability of systems of equations over information systems. We study relationships among these problems. We also discuss the notion of a proper weighted depth for which the problems of computation of the minimum complexity of decision trees and problems of construction of decision trees with the minimum complexity are decidable if the problem of solvability of systems of equations over information systems is decidable.

References

  1. 1.
    Moshkov, M.: Decision Trees. Theory and Applications (in Russian). Nizhny Novgorod University Publishers, Nizhny Novgorod (1994)Google Scholar
  2. 2.
    Moshkov, M.: Time complexity of decision trees. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets III, Lecture Notes in Computer Science, vol. 3400, pp. 244–459. Springer, Berlin (2005)Google Scholar

Copyright information

© The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Computer, Electrical and Mathematical Science and Engineering DivisionKing Abdullah University of Science and TechnologyThuwalSaudi Arabia

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