Multivariable structure of fuzzy control systems
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy Sets and Systems - Special issue on fuzzy neural control
A new approach of multi-stage fuzzy logic inference
Fuzzy Sets and Systems
Universal approximation by hierarchical fuzzy systems
Fuzzy Sets and Systems
Parallel and multistage fuzzy inference based on families of &agr;-level sets
Information Sciences—Informatics and Computer Science: An International Journal - Special issue using fuzzy algebraic structures in intelligent systems
Function approximation with decomposed fuzzy systems
Fuzzy Sets and Systems - Special issue on analytical and structural considerations in fuzzy modeling
Universal approximation by hierarchical fuzzy system with constraints on the fuzzy rule
Fuzzy Sets and Systems - Fuzzy models
On the construction of hierarchical fuzzy systems models
IEEE Transactions on Systems, Man, and Cybernetics, Part C: Applications and Reviews
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Decomposition property of fuzzy systems and its applications
IEEE Transactions on Fuzzy Systems
Hardware and software effective configurations for multi-input fuzzy logic controllers
IEEE Transactions on Fuzzy Systems
On multistage fuzzy neural network modeling
IEEE Transactions on Fuzzy Systems
Linguistic modeling by hierarchical systems of linguistic rules
IEEE Transactions on Fuzzy Systems
A class of hierarchical fuzzy systems with constraints on the fuzzy rules
IEEE Transactions on Fuzzy Systems
Approximation Capabilities of Hierarchical Fuzzy Systems
IEEE Transactions on Fuzzy Systems
An index of applicability for the decomposition method of multivariable fuzzy systems
IEEE Transactions on Fuzzy Systems
Rule base identification in fuzzy networks by Boolean matrix equations
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In classical single-layer fuzzy systems (FSs), the number of rules and the run-time computational requirements increase exponentially with the number of input domains. In this paper, we present a method for converting a multidimensional FS to a two-layer hierarchical FS that reduces the number of rules and improves the run-time efficiency. The first layer of the two-layer system consists of FSs whose rule bases can be represented as linearly independent vectors. The second layer constructs linear combinations of the rule base vectors. The effectiveness of the hierarchical conversion in reducing the number of rules and improving efficiency is demonstrated on a classic control problem and a simulated higher dimensional FS.