Extending XCSFG beyond Linear Approximation

XCSFG is a new version of XCSF with the ability of computing the environmental payoffs using Genetic Algorithm. In the first version of XCSFG, this computation was done by evolving coefficients of the associated linear payoff functions. In this paper, we extend XCSFG to approximate the payoff functions in the form of higher order polynomials. Our newly proposed method uses a new representation of chromosomes which is designed for function approximation. It is applied to some benchmark problems and is compared with XCSF and XCSFG.