Abstract
One of the most challenging issues in fuzzy systems design is generating suitable membership functions for fuzzy variables. This paper proposes a paradigm of applying an information theoretic model to generate fuzzy membership functions. After modeling fuzzy membership function by fuzzy partitions, a genetic algorithm based optimization technique is presented to find sub optimal fuzzy partitions. To generate fuzzy membership function based on fuzzy partitions, a heuristic criterion is also defined. Extensive numerical results and evaluation procedure are provided to demonstrate the effectiveness of the proposed paradigm.
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Makrehchi, M., Basir, O., Kamel, M. (2003). Generation of Fuzzy Membership Function Using Information Theory Measures and Genetic Algorithm. In: Bilgiç, T., De Baets, B., Kaynak, O. (eds) Fuzzy Sets and Systems — IFSA 2003. IFSA 2003. Lecture Notes in Computer Science, vol 2715. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44967-1_72
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DOI: https://doi.org/10.1007/3-540-44967-1_72
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