Title :
Computationally Efficient Type-Reduction Strategies for a Type-2 Fuzzy Logic Controller
Author :
Wu, Dongrui ; Tan, Woei Wan
Author_Institution :
Dept. of Electr. & Comput. Eng., Singapore Nat. Univ.
Abstract :
A type-2 fuzzy set is characterized by a concept called footprint of uncertainty (FOU). It provides the extra mathematical dimension that equips type-2 fuzzy logic systems (FLSs) with the potential to outperform their type-1 counterparts. While a type-2 FLS has the capability to model more complex relationships, the output of a type-2 fuzzy inference engine needs to be type-reduced. As type-reduction is very computationally intensive, type-2 FLSs may not be suitable for certain real-time applications. This paper aims at developing more computationally efficient type-reducers. The proposed type-reducer is based on the concept known as equivalent type-1 sets (ET1Ss), a collection of type-1 sets that replicates the input-output map of a type-2 FLS. Simulations are presented to demonstrate that the proposed type-reducing algorithms have lower computational cost and better performances than the Karnik-Mendel type-reducer
Keywords :
fuzzy control; fuzzy logic; fuzzy reasoning; fuzzy set theory; fuzzy systems; ET1S; equivalent type-1 sets; fuzzy control; fuzzy reasoning; fuzzy set theory; fuzzy systems; type-2 fuzzy inference engine; type-2 fuzzy logic controller; type-2 fuzzy logic systems; type-2 fuzzy set; type-reducing algorithms; type-reduction strategies; uncertainty footprint; Computational efficiency; Computational modeling; Embedded computing; Engines; Fuzzy control; Fuzzy logic; Fuzzy sets; Inference algorithms; Shape; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452419