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Automated Design and Optimization of Specific Algebras by Genetic Algorithms

  • Hashim HabiballaEmail author
  • Jiri Schenk
  • Matej Hires
  • Radek Jendryscik
Conference paper
Part of the Advances in Intelligent Systems and Computing book series (AISC, volume 464)

Abstract

The need for special algebras is the common task for many research in mathematics and theoretical computer science. We present our research concerning automated generation of such algebras through evolutionary techniques. Our reserch concerning the usage genetic algorithms shows this task to be feasible and we demonstrate it on special algebras called EQ-algebras. We also present possible optimization of the process using an expert system.

Keywords

Genetic Algorithm Fuzzy Logic Expert System Theoretical Computer Science Finite Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    Sekanina, L.: Evolvable hardware. In: Handbook of Natural Computing, pp. 1657–1705. Springer (2012). ISBN: 978-3-540-92909-3Google Scholar
  2. 2.
    Dvorak, A., Habiballa, H., Novak, V., Pavliska, V.: The, concept of LFLC 2000—its specificity, realization and power of applications. In: Computers in Industry, 03/2004(51), pp. 269–280. Elsevier, Amsterdam (2000)Google Scholar
  3. 3.
    Hingston, P., Barone, L., Michalewicz, Z.: Design by Evolution: Advances in Evolutionary Design. Springer (2008). ISBN: 978-3540741091Google Scholar
  4. 4.
    Volna, E., Kotyrba, M.: A comparative study to evolutionary algorithms. In: Proceedings 28th European Conference on Modelling and Simulation. ECMS 2014, pp. 340–345. Brescia, Italy (2014)Google Scholar
  5. 5.
    Spector, L., et al.: Genetic programming for finite algebras. In: Proceedings of the 10th Annual Conference on Genetic and Evolutionary Computation (GECCO ’08), pp. 1291–1298. ACM, NY, USA (2008)Google Scholar
  6. 6.
    Novák, V., De Baets, B.: EQ-algebras. Fuzzy Sets Syst. 2956–2978 (2009)Google Scholar
  7. 7.
    Dyba, M., Novák., V.: EQ-logics: non-commutative fuzzy logics based on fuzzy equality. Fuzzy Sets Syst. 172, 13–32 (2011)Google Scholar
  8. 8.
    Habiballa, H., et. al.: EQCreator application. University of Ostrava, Centre of Excellence IT4Innovations (2014). http://irafm.osu.cz/en/c172_eqcreator/

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Hashim Habiballa
    • 1
    Email author
  • Jiri Schenk
    • 1
  • Matej Hires
    • 1
  • Radek Jendryscik
    • 1
  1. 1.Department of Informatics and ComputersUniversity of OstravaOstravaCzech Republic

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