A fuzzy additive reasoning scheme for probabilistic Mamdani fuzzy systems

@inproceedings{Kaymak2003AFA,
  title={A fuzzy additive reasoning scheme for probabilistic Mamdani fuzzy systems},
  author={Uzay Kaymak and Willem-Max van den Bergh and Jan van den Berg},
  booktitle={FUZZ-IEEE},
  year={2003}
}
We introduce a type of probabilistic fuzzy system with a generalized Mamdani-type fuzzy rule base, and an additive reasoning scheme where conditional probabilities on fuzzy events are aggregated using an interpolation approach. In this way, probabilistic fuzzy outputs can be calculated for arbitrary crisp input vectors. If desired, the probabilistic fuzzy output can he made crisp using a defuzzification and averaging step. Besides introducing the architecture of the probabilistic fuzzy systems… CONTINUE READING
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