Multidimensional Optimization with a Fuzzy Genetic Algorithm

  • Authors:
  • S. Voget;M. Kolonko

  • Affiliations:
  • Robert Bosch GmbH, Abt FV/SLD, Kleyerstr. 94, D-60326 Frankfurt, Germany. E-mail: Stefan.Voget@fr.bosch.de;Institut für Mathematik, TU Clausthal, Erzstr. 1, D-38670 Clausthal-Zellerfeld, Germany. E-mail: kolonko@math.tu-clausthal.de

  • Venue:
  • Journal of Heuristics
  • Year:
  • 1998

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Abstract

We present a new heuristic method to approximate the set ofPareto-optimal solutions in multicriteria optimizationproblems. We use genetic algorithms with an adaptive selectionmechanism. The direction of the selection pressure is adapted tothe actual state of the population and forces it to explore abroad range of so far undominated solutions. The adaptation isdone by a fuzzy rule-based control of the selection procedureand the fitness function. As an application we present atimetable optimization problem where we used this method toderive cost-benefit curves for the investment into railway nets.These results show that our fuzzy adaptive approach avoids mostof the empirical shortcomings of other multiobjective genetic algorithms.