Decision Trees with Hypotheses for Recognition of Monotone Boolean Functions and for Sorting

Mohammad Azad, Igor Chikalov, Shahid Hussain, Mikhail Moshkov, Beata Zielosko

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this chapter, we study the problem of recognition of monotone Boolean functions with n variables, n=2,…,4, and the problem of sorting n pairwise different elements from linearly ordered set, n=3,…,6. For each of these problems, we compare the complexity of five types of optimal (relative to the depth or the number of realizable nodes) decision trees. We also study the complexity of decision trees constructed by greedy algorithms and analyze the length of decision rules derived from these trees.
Original languageEnglish (US)
Title of host publicationDecision Trees with Hypotheses
PublisherSpringer International Publishing
Pages73-80
Number of pages8
ISBN (Print)9783031085840
DOIs
StatePublished - Nov 19 2022

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