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Title: Type-2 FLS modeling capability analysis
Authors: Wu, D.
Tan, W.W. 
Issue Date: 2005
Citation: Wu, D.,Tan, W.W. (2005). Type-2 FLS modeling capability analysis. IEEE International Conference on Fuzzy Systems : 242-247. ScholarBank@NUS Repository.
Abstract: There has been an increasing amount of research on type-2 fuzzy logic systems (FLSs) recently. The interest is fueled by results demonstrating that type-2 fuzzy sets offer a framework for effectively solving problems where uncertainties are present. A concept, known as the footprint of uncertainty (FOU), is mainly responsible for the improved modeling capability of type-2 FLSs. This paper amis at providing insight into how the extra mathematical dimension provided by the FOU differentiates type-2 FLSs from type-1 FLSs. Since the input-output relationships of both types of FLS are fixed once the parameters are selected, the analysis is performed by finding a set of equivalent type-1 sets (ETISs) that re-produces the input-output map of a type-2 FLS. Results are presented to demonstrate that a type-2 fuzzy system is able to model more complex input-output relationship because the ET1S changes as the input varies. The technique for converting a type-2 fuzzy set into a group of type-1 sets is also useful as it provides a framework for extending the entire wealth of type-1 fuzzy control/identification/design/analysis techniques to type-2 systems. © 2005 IEEE.
Source Title: IEEE International Conference on Fuzzy Systems
ISSN: 10987584
Appears in Collections:Staff Publications

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