Estimation of Hausdorff Measure of Fractals Based on Genetic Algorithm
نویسندگان
چکیده
In this paper, the upper bounds of the Hausdorff measure of the generalized Sierpinski gasket is estimated by using genetic algorithm, which is inspired by evolution.
منابع مشابه
A Novel Solution for the Hausdorff Measure Computation of Sierpinski Carpet
The computation of the Hausdorff measure of fractals is the basic problem in fractal geometry. However, this is very difficult. The genetic algorithm is one of optimization algorithms to resolve complicated problems of wide scope, and has great capabilities in self-organizing, self-adaptation and self-learning. Lifeng Xi professor put forward to the thought of computing the Hausdorff measure of...
متن کاملFractals as Fixed Points of Iterated Function Systems
This paper discusses one method of producing fractals, namely that of iterated function systems. We first establish the tools of Hausdorff measure and Hausdorff dimension to analyze fractals, as well as some concepts in the theory of metric spaces. The latter allows us to prove the existence and uniqueness of fractals as fixed points of iterated function systems. We discuss the connection betwe...
متن کاملHanoi attractors and the Sierpiński gasket
The famous game Towers of Hanoi is related with a family of so–called Hanoi–graphs. We regard these non self–similar graphs as geometrical objects and obtain a sequence of fractals (HGα)α converging to the Sierpiński gasket which is one of the best studied fractals. It is shown that this convergence holds not only with respect to the Hausdorff distance, but that also Hausdorff dimension does co...
متن کاملA New Approach to Software Cost Estimation by Improving Genetic Algorithm with Bat Algorithm
Because of the low accuracy of estimation and uncertainty of the techniques used in the past to Software Cost Estimation (SCE), software producers face a high risk in practice with regards to software projects and they often fail in such projects. Thus, SCE as a complex issue in software engineering requires new solutions, and researchers make an effort to make use of Meta-heuristic algorithms ...
متن کاملEstimation of Electricity Demand in Residential Sector Using Genetic Algorithm Approach
This paper aimed at estimation of the per capita consumption of electricity in residential sector based on economic indicators in Iran. The Genetic Algorithm Electricity Demand Model (GAEDM) was developed based on the past data using the genetic algorithm approach (GAA). The economic indicators used during the model development include: gross domestic product (GDP) in terms of per capita and ...
متن کامل