Decision list

Updated on Dec 19, 2024

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Decision lists are a representation for Boolean functions. Single term decision lists are more expressive than disjunctions and conjunctions; however, 1-term decision lists are less expressive than the general disjunctive normal form and the conjunctive normal form.

The language specified by a k-length decision list includes as a subset the language specified by a k-depth decision tree.

Learning decision lists can be used for attribute efficient learning.

Definition

A decision list (DL) of length r is of the form:

if f₁ then output b₁else if f₂ then output b₂...else if f_r then output b_r

where f_i is the ith formula and b_i is the ith boolean for i ∈ { 1... r } . The last if-then-else is the default case, which means formula f_r is always equal to true. A k-DL is a decision list where all of formulas have at most k terms. Sometimes "decision list" is used to refer to a 1-DL, where all of the formulas are either a variable or its negation.

References

Decision list Wikipedia

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