In this study, an efficient fuzzy logic system (FLS) based on triangular type-2 fuzzy sets is designed. In detail, this paper provides a new method for computational complexity reduction in t-norm operations extended on triangular type-2 fuzzy sets. It is demonstrated that our approximate extended t-norms for arguments with triangular membership functions (MFs) satisfy axiomatics of the type-2 t-norm. A new efficient approximate iterative procedure based on the K-M type-reduction is proposed in order to develop triangular type-2 FLSs. The utility of triangular type-2 FLSs in approximate reasoning is illustrated by numerical examples. © 2009 Elsevier Inc. All rights reserved.
Starczewski, J. T. (2009). Efficient triangular type-2 fuzzy logic systems. International Journal of Approximate Reasoning, 50(5), 799–811. https://doi.org/10.1016/j.ijar.2009.03.001