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C. FERREIRA In E. Lutton, J. A. Foster, J. Miller, C. Ryan, and A. G. B. Tettamanzi, eds., Proceedings of the 4th European Conference on Genetic Programming, Lecture Notes in Computer Science, Vol. 2278, pages 51-60, Springer-Verlag, Berlin, Germany, 2002.

Discovery of the Boolean Functions to the Best Density-Classification Rules Using Gene Expression Programming

Experimental Setup
 
The total 27 = 128 transition states of each rule consists of the fitness cases used to evaluate fitness. In all cases, the set of functions F = { N, A, O, X, D, R, I, M} (representing, respectively, NOT, AND, OR, XOR, NAND, NOR, IF, and Majority, where the first is a function of one argument, the second through fifth are functions of two arguments, and the last two are functions of three arguments), and the set of terminals T = {c, b, a, u, 1, 2, 3}. The fitness fi of a program i is evaluated by the equation:

(9)

where n is the number of fitness cases correctly evaluated, and Ct is the total number of fitness cases. Thus, for the entire set of fitness cases, fmax = 128.

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