Soft Decision Trees

Oren Fivel (), Moshe Klein () and Oded Maimon ()
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Oren Fivel: Ben-Gurion University of the Negev, School of Electrical and Computer Engineering
Moshe Klein: Tel-Aviv University, Department of Industrial Engineering
Oded Maimon: Tel-Aviv University, Department of Industrial Engineering

A chapter in Machine Learning for Data Science Handbook, 2023, pp 143-170 from Springer

Abstract: Abstract In this chapter, we develop the foundation of a new theory for decision trees based on new modeling of phenomena with soft numbers. Soft numbers represent the theory of soft logic that addresses the need to combine real processes and cognitive ones in the same framework. At the same time, soft logic develops a new concept of modeling and dealing with uncertainty: the uncertainty of time and space. It is a language that can talk in two reference frames and also suggest a way to combine them. In the classical probability, in continuous random variables, there is no distinguishing between the probability involving strict inequality and non-strict inequality. Moreover, a probability involves equality collapse to zero, without distinguishing among the values that we would like that the random variable will have for comparison. This chapter presents soft probability, by incorporating of soft numbers into probability theory. Soft numbers are a set of new numbers that are linear combinations of multiples of “ones” and multiples of “zeros.” In this chapter, we develop a probability involving equality as a “soft zero” multiple of a probability density function (PDF). Based on soft probability, we introduced an approach to implement C4.5 algorithm as an example for a soft decision tree.

Keywords: Bridge number; Continuous random variable; Decision trees; Information theory; PDF; Probability; Soft logic; Soft number; Soft probability; Zero axis (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-031-24628-9_8

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DOI: 10.1007/978-3-031-24628-9_8

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