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

In this paper, we consider classes of decision tables with many-valued decisions closed under operations of the removal of columns, the changing of decisions, the permutation of columns, and the duplication of columns. We study relationships among three parameters of these tables: the complexity of...

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Veröffentlicht in:Entropy (Basel, Switzerland) Jg. 26; H. 6; S. 519
Hauptverfasser: Ostonov, Azimkhon, Moshkov, Mikhail
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Switzerland MDPI AG 17.06.2024
MDPI
Schlagworte:
Algorithms
Boolean
closed classes of decision tables
Complexity
Data analysis
Decision trees
deterministic decision trees
Fault diagnosis
Information systems
nondeterministic decision trees
Permutations
deterministic decision trees
nondeterministic decision trees
closed classes of decision tables
ISSN:1099-4300, 1099-4300
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Zusammenfassung:In this paper, we consider classes of decision tables with many-valued decisions closed under operations of the removal of columns, the changing of decisions, the permutation of columns, and the duplication of columns. We study relationships among three parameters of these tables: the complexity of a decision table (if we consider the depth of the 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 the rough classification of functions characterizing relationships and enumerate all possible seven types of relationships.
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ISSN:1099-4300
1099-4300
DOI:10.3390/e26060519