Abstract
An approach to construct optimal fuzzy models based on an optimization of parameters of generalized conjunction operations is discussed. Several approaches to construct parametric classes of conjunction operations simpler than known parametric classes of T-norms are considered. These approaches are based on elimination of associativity and commutativity properties from definition of conjunction operation. A new simplest generalized parametric conjunction operation is introduced. Different approaches to approximation of real valued function by fuzzy models based on optimization of parameters of membership functions and parameters of operations are compared by numerical examples. It is shown that fuzzy models based on new conjunction operation have better performance than previous ones.
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© 2000 Springer-Verlag Berlin Heidelberg
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Batyrshin, I. (2000). Generalized Parametric Conjunction Operations in Fuzzy Modeling. In: Hampel, R., Wagenknecht, M., Chaker, N. (eds) Fuzzy Control. Advances in Soft Computing, vol 6. Physica, Heidelberg. https://doi.org/10.1007/978-3-7908-1841-3_5
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DOI: https://doi.org/10.1007/978-3-7908-1841-3_5
Publisher Name: Physica, Heidelberg
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Online ISBN: 978-3-7908-1841-3
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