Comparative Analysis of Deterministic and Nondeterministic Decision Trees for Decision Tables from Closed Classes

Azimkhon Ostonov; Mikhail Moshkov

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arXiv · 2304.10594

Comparative Analysis of Deterministic and Nondeterministic Decision Trees for Decision Tables from Closed Classes

Azimkhon Ostonov·Mikhail Moshkov

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Abstract

In this paper, we consider classes of decision tables with many-valued decisions closed under operations of removal of columns, changing of decisions, permutation of columns, and duplication of columns. We study relationships among three parameters of these tables: the complexity of a decision table (if we consider the depth of decision trees, then the complexity of a decision table is the number of columns in it), the minimum complexity of a deterministic decision tree, and the minimum complexity of a nondeterministic decision tree. We consider rough classification of functions characterizing relationships and enumerate all possible seven types of the relationships.

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Azimkhon Ostonov, Mikhail Moshkov. 2023-04-20. Comparative Analysis of Deterministic and Nondeterministic Decision Trees for Decision Tables from Closed Classes. https://arxiv.org/abs/2304.10594

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