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Fuzzification and Defuzzification Process in Genetically Evolved Fuzzy Cognitive Maps (GEFCMs)

Author

Listed:
  • Mateou, N. H.
  • Andreou, A. S.
  • Zombanakis, George A.

Abstract

This paper describes the fuzzification and defuzzification process in the framework of hybrid systems comprising Fuzzy Cognitive Maps (FCMs) and Genetic Algorithms (GAs). More specifically, it provides a stepwise methodology for fuzzification and defuzzification aiming at both an improved approach of the human reasoning pattern and an increase of the decision-making potentials. The fuzzification process is primarily based on producing fuzzy information provided by a group of experts. Each concept is analyzed into trapezoidal membership functions of either fixed or variable widths, with these intervals labeled and stored for the defuzzification process later on, during which the levels are matched according to the membership functions of each concept. The defuzzification process is more complicated than the fuzzification one and consists of four basic iterative stages: The Iteration, the Max-Min Average Computation, the Categorization and, finally, the Realization Inference Stage.

Suggested Citation

  • Mateou, N. H. & Andreou, A. S. & Zombanakis, George A., 2004. "Fuzzification and Defuzzification Process in Genetically Evolved Fuzzy Cognitive Maps (GEFCMs)," MPRA Paper 51376, University Library of Munich, Germany, revised 01 Jun 2004.
    • Handle: RePEc:pra:mprapa:51376
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    File URL: https://mpra.ub.uni-muenchen.de/51376/1/MPRA_paper_51376.pdf
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    References listed on IDEAS

    as
    1. Andreou, A. S. & Mateou, N. H. & Zombanakis, George A., 2003. "Crisis Management and Political Decision Making Using Genetically Evolved Fuzzy Cognitive Maps," MPRA Paper 51639, University Library of Munich, Germany, revised 14 Feb 2003.
    2. Andreou, A. S. & Mateou, N. H. & Zombanakis, George A., 2003. "Evolutionary Fuzzy Cognitive Maps: A Hybrid System for Crisis Management and Political Decision Making," MPRA Paper 51482, University Library of Munich, Germany, revised 12 Feb 2003.
    3. Andreou, Andreas S. & Mateou, Nicos H. & Zombanakis, George A., 2005. "Soft computing for crisis management and political decision making: the use of genetically evolved fuzzy cognitive maps," MPRA Paper 51325, University Library of Munich, Germany, revised 01 Nov 2004.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Fuzzification; Defuzzification; Fuzzy Cognitive Map; Evolutionary Computing; Decision-Making;
    All these keywords.

    JEL classification:

    • C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools
    • H56 - Public Economics - - National Government Expenditures and Related Policies - - - National Security and War

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