An introduction to fuzzy control
An introduction to fuzzy control
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Digital image processing
Fuzzy Modeling for Control
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
A Wavelet Tour of Signal Processing, Third Edition: The Sparse Way
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This paper proposes an eclectic approach for the efficient computation of fuzzy rules based on fuzzy logic and signal processing techniques. The rules {Rr} of the MISO zero-order Takagi-Sugeno fuzzy system considered, are given in the form of Rr: If XI is Arj and ... and XN is ArN then z is Cr, where Xj are fuzzified input variables, Arj are standard fuzzy sets which belong to the corresponding partition of unity {Arj} and cr is a nonfuzzy singleton term of output variable z. A relevant feature of this approach is a quantitative, signal processing based, transformation of uncertainty (imprecision) of each input Xj into an additional uncertainty (vagueness) on the corresponding fuzzy partition {Arj}. This transformation greatly simplifies the involved matching computation. Moreover, this fuzzification transformation gives a new set of linguistic terms {Arj'} which is also a partition the unity.