Genetic learning and performance evaluation of interval type-2 fuzzy logic controllers
Engineering Applications of Artificial Intelligence
An improved stable adaptive fuzzy control method
IEEE Transactions on Fuzzy Systems
Stable model reference adaptive fuzzy control of a class of nonlinear systems
IEEE Transactions on Fuzzy Systems
Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems
IEEE Transactions on Fuzzy Systems
Uniformly ultimately bounded fuzzy adaptive tracking controllers for uncertain systems
IEEE Transactions on Fuzzy Systems
Two-Mode Adaptive Fuzzy Control With Approximation Error Estimator
IEEE Transactions on Fuzzy Systems
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As an extension of T1 FLS, IT2 FLS was proposed to handle a higher level of uncertainties by providing an additional dimension to FSs. This paper investigates IT2 FLSs' advantages over type-1 FLSs in adaptive fuzzy systems. It is shown that the uncertainties existing in consequent sets could not be fully utilized when type-reduction is performed using the uncertainty bounds method, which may limit the potential advantages of adaptive IT2 fuzzy systems. To address this limitation, a type-reduction method based on two of the four boundary embedded type-1 FLSs in the uncertainty bounds method is proposed. Moreover, we also establish the condition when adaptive fuzzy systems using T1 FLSs and IT2 FLSs have the same performance. Lastly, IT2 FLSs using the proposed type-reduction method are demonstrated to have greater approximation ability than type-1 FLSs through numerical experiments.