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Upper Bounds and Algorithms for Construction of Deterministic Decision Trees for Decision Tables. Second Approach

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Comparative Analysis of Deterministic and Nondeterministic Decision Trees

Part of the book series: Intelligent Systems Reference Library ((ISRL,volume 179))

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Abstract

In this chapter, upper bounds on the minimum complexity and algorithms for construction of deterministic decision trees for decision tables are considered. These bounds and algorithms are based on the use of so-called additive-bounded uncertainty measures for decision tables. The bounds are true for any complexity function having the property \(\varLambda 1\). When developing algorithms, we assume that the complexity functions have properties \(\varLambda 1\), \(\varLambda 2\), and \(\varLambda 3\).

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References

  1. Moshkov, M.: On conditional tests. Sov. Phys. Dokl. 27, 528–530 (1982)

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  2. Moshkov, M.: Conditional tests. In: Yablonskii, S.V. (ed.) Problemy Kibernetiki (in Russian), vol. 40, pp. 131–170. Nauka Publishers, Moscow (1983)

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  3. Moshkov, M.: Bounds on complexity and algorithms for construction of deterministic conditional tests. In: Mat. Vopr. Kibern. (in Russian), vol. 16, pp. 79–124. Fizmatlit, Moscow (2007). http://library.keldysh.ru/mvk.asp?id=2007-79

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Correspondence to Mikhail Moshkov .

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Moshkov, M. (2020). Upper Bounds and Algorithms for Construction of Deterministic Decision Trees for Decision Tables. Second Approach. In: Comparative Analysis of Deterministic and Nondeterministic Decision Trees. Intelligent Systems Reference Library, vol 179. Springer, Cham. https://doi.org/10.1007/978-3-030-41728-4_5

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