Unimprovable upper bounds on time complexity of decision trees
Fundamenta Informaticae
Rough Sets: Theoretical Aspects of Reasoning about Data
Rough Sets: Theoretical Aspects of Reasoning about Data
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In the paper, infinite information systems are considered which are used in pattern recognition, discrete optimization, computational geometry. Depth and size of deterministic and nondeterministic decision trees over such information systems are studied. Two classes of infinite information systems are investigated. Systems from these classes are best from the point of view of time complexity and space complexity of deterministic as well as nondeterministic decision trees. In proofs methods of test theory [1] and rough set theory [6, 9] are used.