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On Decision Trees with Minimal Average Depth

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1424))

Abstract

Decision trees are studied in rough set theory [6],[7] and test theory [1], [2], [3] and are used in different areas of applications. The complexity of optimal decision tree (a decision tree with minimal average depth) construction is very high. In the paper some conditions reducing the search are formulated. If these conditions are satisfied, an optimal decision tree for the problem is a result of simple transformation of optimal decision trees for some problems, obtained by decomposition of the initial problem. The decompostion properties are used to show that bounds given in [4] are unimprovable bounds on minimal average depth of decision tree.

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References

  1. Chegis, I., Yablonskii, S.: Logical methods for electric circuit control. Trudy MIAN SSSR 51 (1958) 270–360 (in Russian).

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  4. Moshkov, M., Chikalov, I.: Bounds on average weighted depth of decision trees. Fundamenta Informaticae (1997). 31 145–157

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  5. Moshkov, M., Chikalov, I.: Bounds on average depth of decision trees. Proceedings of the Fifth European Congress on Intelligent Techniques and Soft Computing, Aachen (1997) 226–230

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  6. Pawlak, Z.: Rough Sets-Theoretical Aspects of Reasoning about Data. Kluwer Academic Publishers, Dordrecht (1991)

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  7. Skowron, A., Rauszer, C.: The discernibility matrices and functions in information systems. Intelligent Decision Support. Handbook of Applications and Advances of the Rough Set Theory. Kluwer Academic Publishers, Dordrecht (1992) 331–362

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© 1998 Springer-Verlag Berlin Heidelberg

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Chikalov, I. (1998). On Decision Trees with Minimal Average Depth. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_69

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  • DOI: https://doi.org/10.1007/3-540-69115-4_69

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64655-6

  • Online ISBN: 978-3-540-69115-0

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