Fuzzy Modeling for Control
Systematic design of a stable type-2 fuzzy logic controller
Applied Soft Computing
Big Bang Big Crunch Optimization Method Based Fuzzy Model Inversion
MICAI '08 Proceedings of the 7th Mexican International Conference on Artificial Intelligence: Advances in Artificial Intelligence
International Journal of Approximate Reasoning
Direct adaptive interval type-2 fuzzy control of multivariable nonlinear systems
Engineering Applications of Artificial Intelligence
Efficient triangular type-2 fuzzy logic systems
International Journal of Approximate Reasoning
Information Sciences: an International Journal
Modeling Uncertainty with Fuzzy Logic: With Recent Theory and Applications
Modeling Uncertainty with Fuzzy Logic: With Recent Theory and Applications
Enhanced Karnik-Mendel algorithms
IEEE Transactions on Fuzzy Systems
On the stability of interval type-2 TSK fuzzy logic control systems
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics - Special issue on game theory
IEEE Transactions on Fuzzy Systems
On the robustness of Type-1 and Interval Type-2 fuzzy logic systems in modeling
Information Sciences: an International Journal
Adaptive fuzzy model based inverse controller design using BB-BC optimization algorithm
Expert Systems with Applications: An International Journal
A review on the design and optimization of interval type-2 fuzzy controllers
Applied Soft Computing
Type-2 FLCs: A New Generation of Fuzzy Controllers
IEEE Computational Intelligence Magazine
Decomposition property of fuzzy systems and its applications
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Interval type-2 fuzzy logic systems: theory and design
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
Nonlinear internal model control: application of inverse model based fuzzy control
IEEE Transactions on Fuzzy Systems
IEEE Transactions on Fuzzy Systems
A 2uFunction representation for non-uniform type-2 fuzzy sets: Theory and design
International Journal of Approximate Reasoning
A closed form type reduction method for piecewise linear interval type-2 fuzzy sets
International Journal of Approximate Reasoning
Forecasting stock index price based on M-factors fuzzy time series and particle swarm optimization
International Journal of Approximate Reasoning
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It has been demonstrated that type-2 fuzzy logic systems are much more powerful tools than ordinary (type-1) fuzzy logic systems to represent highly nonlinear and/or uncertain systems. As a consequence, type-2 fuzzy logic systems have been applied in various areas especially in control system design and modelling. In this study, an exact inversion methodology is developed for decomposable interval type-2 fuzzy logic system. In this context, the decomposition property is extended and generalized to interval type-2 fuzzy logic sets. Based on this property, the interval type-2 fuzzy logic system is decomposed into several interval type-2 fuzzy logic subsystems under a certain condition on the input space of the fuzzy logic system. Then, the analytical formulation of the inverse interval type-2 fuzzy logic subsystem output is explicitly driven for certain switching points of the Karnik-Mendel type reduction method. The proposed exact inversion methodology driven for the interval type-2 fuzzy logic subsystem is generalized to the overall interval type-2 fuzzy logic system via the decomposition property. In order to demonstrate the feasibility of the proposed methodology, a simulation study is given where the beneficial sides of the proposed exact inversion methodology are shown clearly.