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QFCS: A Fuzzy LCS in Continuous Multi-step Environments with Continuous Vector Actions

José Ramírez-RuizContact Information, Manuel Valenzuela-RendónContact Information and Hugo Terashima-MarínContact Information

(1)  Center for Intelligent Systems, Tecnológico de Monterrey, Campus Monterrey, 64849 Monterrey, N.L., Mexico
Abstract
This paper introduces the QFCS, a new approach to fuzzy learning classifier systems. QFCS can solve the multistep reinforcement learning problem in continuous environments and with a set of continuous vector actions. Rules in the QFCS are small fuzzy systems. QFCS uses a Q-learning algorithm to learn the mapping between inputs and outputs. This paper presents results that show that QFCS can evolve rules to represent only those parts of the input and action space where the expected values are important for making decisions. Results for the QFCS are compared with those obtained by Q-learning with a high discretization to show that the new approach converges in a way similar to how Q-learning does for one-dimension problems with an optimal solution, and for two dimensions QFCS learns suboptimal solutions while it is difficult for Q-learning to converge due to that high discretization.

Keywords  Learning Classifier Systems - Fuzzy Classifier Systems - Fuzzy Logic - Genetic Algorithm - Induction Theory


Contact Information José Ramírez-Ruiz
Email: a00792432@itesm.mx

Contact Information Manuel Valenzuela-Rendón
Email: valenzuela@itesm.mx

Contact Information Hugo Terashima-Marín
Email: terashima@itesm.mx
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