Analysis of the Distribution of Individuals in Modified Genetic Algorithms

  • Krzysztof Pytel
  • Tadeusz Nawarycz
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6114)


The article presents the results of the analysis of the distribution of individuals in a modified genetic algorithm for solving function optimization problems. In the proposed modification of the genetic algorithm, we use the fuzzy logic controller (FLC). The authors proposed the FLC, which estimates all individuals in the population and modifies the probability of the selection to the parents’ pool and the probability of the mutation of their genes. In the article we present the results of the analysis of the distribution of individuals in all generations of the algorithm. We compared the results of the elementary algorithm and the algorithm with the adaptation of the selection and mutation probabilities. The new algorithm has been tested on a number of sophisticated functions with satisfactory results.


fuzzy logic genetic algorithms artificial intelligence function optimization 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Driankov, D., Hellendoorn, H., Reinfrank, M.: An Introduction to Fuzzy Logic. Springer, Berlin (1993)Google Scholar
  2. 2.
    Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison-Wesley Pub. Co., Reading (1989)zbMATHGoogle Scholar
  3. 3.
    Kwasnicka, H.: Evolutionary Computation in Artificial Intelligence. In: Publishing House of the Wroclaw University of Technology, Wroclaw, Poland (1999) (in Polish)Google Scholar
  4. 4.
    Michalewicz, Z.: Genetic Algorithms + Data Structures = Evolution Programs. Springer, Berlin (1992)zbMATHGoogle Scholar
  5. 5.
    Piegat, A.: Fuzzy modelling and control. Academic Publishing House EXIT, Warsaw (1999) (in Polish)Google Scholar
  6. 6.
    Pytel, K., Kluka, G.: Application of fuzzy logic to aid individual’s evolution in genetic algorithms. In: Pytel, K., Kluka, G. (eds.) Studies in Automation and Information Technology. Publishing House of the Poznan Society for the Advancement of the Arts and Sciences, Poznan (2002)Google Scholar
  7. 7.
    Rutkowska, D.: Intelligent Computational Systems. Academic Publishing House PLJ, Warsaw (1997) (in Polish)Google Scholar
  8. 8.
    Rutkowska, D., Pilinski, M., Rutkowski, L.: Neural Networks, Genetic Algorithms and Fuzzy Systems. PWN Scientific Publisher, Warsaw (1997) (in Polish)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Krzysztof Pytel
    • 1
  • Tadeusz Nawarycz
    • 2
  1. 1.Academy of Humanities and Economics in LodzPoland
  2. 2.Department of BiophysicsMedical University in LodzPoland

Personalised recommendations