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Area of Science:

  • Computer Science
  • Artificial Intelligence
  • Machine Learning

Background:

  • Fuzzy Pattern Trees (FPTs) are used for classification.
  • Existing methods for evolving FPTs include Cartesian Genetic Programming (CGP).

Purpose of the Study:

  • To introduce a novel approach for evolving Fuzzy Pattern Trees using Grammatical Evolution, termed Fuzzy Grammatical Evolution (FGE).
  • To compare the performance of FGE against state-of-the-art methods, specifically CGP-evolved FPTs.

Main Methods:

  • Fuzzy Grammatical Evolution (FGE) was developed to induce Fuzzy Pattern Trees.
  • FGE was applied to benchmark classification problems.
  • Ensemble methods, including Boosting, were investigated to enhance FGE performance.
  • A version of FGE incorporating parsimony pressure was tested to address tree bloat.

Main Results:

  • FGE achieved comparable or superior results to CGP on benchmark classification problems.
  • FGE produced better-performing trees than CGP, despite CGP generating smaller trees.
  • FGE requires fewer user-selectable parameters than CGP.
  • FGE with parsimony pressure generated smaller trees than CGP without performance compromise.
  • Boosting improved FGE performance on half of the investigated benchmarks.

Conclusions:

  • Fuzzy Grammatical Evolution is a promising alternative for evolving high-performing Fuzzy Pattern Trees.
  • FGE offers advantages over CGP in terms of performance and parameter tuning.
  • Parsimony pressure can effectively mitigate bloat in FGE without sacrificing accuracy.
  • Ensemble techniques, particularly Boosting, can further enhance FGE's effectiveness.