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Fast Inference Using Transition Matrices: An Extension to Nonlinear Operators

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2 Author(s)
Aja-Fernández, S. ; E.T.S. Ingenieros de Telecomunicacion, Univ. de Valladolid, Spain ; Alberola-Lopez, C.

Fast inference using transition matrices (FITMs) was recently presented as a new fast algorithm for performing inferences in fuzzy systems. However, this algorithm only applies to the standard additive model (SAM) using the sum-product inference composition. In this paper, we show how this methodology carries over to more general Mamdani fuzzy systems, i.e., those using t-norms and t-conorms that satisfy a requirement of distributivity. In addition, FITM, as originally described, requires inputs to be fuzzy sets. We here extend this methodology to handle crisp inputs as well.

Published in:

Fuzzy Systems, IEEE Transactions on  (Volume:13 ,  Issue: 4 )