Fuzzy control and fuzzy systems
Fuzzy control and fuzzy systems
Automatica (Journal of IFAC)
Sugeno type controllers are universal controllers
Fuzzy Sets and Systems
Sufficient conditions on general fuzzy systems as function approximators
Automatica (Journal of IFAC)
Fuzzy Systems as Universal Approximators
IEEE Transactions on Computers
Nonlinear context adaptation in the calibration of fuzzy sets
Fuzzy Sets and Systems
Stable fuzzy adaptive control for a class of nonlinear systems
Fuzzy Sets and Systems
Approximation theory of fuzzy systems based upon genuine many-valued implications: MIMO Cases
Fuzzy Sets and Systems - Fuzzy models
Hierarchical TS fuzzy system and its universal approximation
Information Sciences—Informatics and Computer Science: An International Journal
Sufficient and necessary conditions for Boolean fuzzy systems as universal approximators
Information Sciences: an International Journal
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Approximation properties of fuzzy systems for smooth functions and their first-order derivative
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
IEEE Transactions on Fuzzy Systems
Approximation Capabilities of Hierarchical Fuzzy Systems
IEEE Transactions on Fuzzy Systems
Approximation theory of fuzzy systems-SISO case
IEEE Transactions on Fuzzy Systems
Systemic approach to fuzzy logic formalization for approximate reasoning
Information Sciences: an International Journal
A cooperative spectrum sensing scheme using adaptive fuzzy system for cognitive radio networks
Information Sciences: an International Journal
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In the last 20years, while most research on fuzzy approximation theory has focused on nonadaptive fuzzy systems, little work has been done on adaptive fuzzy systems. This paper introduces an algorithm for adaptive fuzzy systems with Variable Universe of Discourse (VUD). By means of contraction-expansion factors, universe of discourse can be modified online, and fuzzy rules can reproduce automatically to adapt to the modified universe of discourse. Thus, dependence on the size of initial rule base is greatly reduced. Using Stone-Weierstrass theorem, VUD adaptive fuzzy systems are proved to be universal approximators with two-order approximation accuracy. In addition, the convergence properties of approximation error are discussed, and a sufficient condition is presented to partition universe of discourse and to calculate the size of rule base. An example is also given to illustrate the approximation power of VUD adaptive fuzzy systems.