Lecture Notes in Computer Science, 2007, Volume 4693/2007, 182-188, DOI: 10.1007/978-3-540-74827-4_23

Application of Genetic Algorithm to Hausdorff Measure Estimation of Sierpinski Carpet

Qili Xiao and Lifeng Xi

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Abstract

In this paper, we discuss the realization of the genetic algorithm on calculating the Hausdorff measure of the Sierpinski gasket with compression ratio 1/2 in detail, mainly including the encoding and decoding method, generation of the initial population, and fitness computation. The experimental results prove that the genetic algorithm is an effective and universal method to calculate Hausdorff measure.

Keywords  Genetic algorithm - Sierpinski gasket - Hausdorff measure - binary string - initial population

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