Fuzzy sets in approximate reasoning, part 2: logical approaches
Fuzzy Sets and Systems - Special memorial volume on foundations of fuzzy reasoning
Investigations on the applicability of fuzzy interference
Fuzzy Sets and Systems
Sufficient conditions on general fuzzy systems as function approximators
Automatica (Journal of IFAC)
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy sets and fuzzy logic: theory and applications
Fuzzy control as a universal control tool
Fuzzy Sets and Systems
A course in fuzzy systems and control
A course in fuzzy systems and control
Applicability of the fuzzy operators in the design of fuzzy logic controllers
Fuzzy Sets and Systems
Approximation theory of fuzzy systems based upon genuine many-valued implications: SISO cases
Fuzzy Sets and Systems - Fuzzy models
Approximation theory of fuzzy systems based upon genuine many-valued implications: MIMO Cases
Fuzzy Sets and Systems - Fuzzy models
Automorphisms, negations and implication operators
Fuzzy Sets and Systems - Implication operators
Applicability of some fuzzy implication operators
Fuzzy Sets and Systems
A constructive method for the definition of interval-valued fuzzy implication operators
Fuzzy Sets and Systems
Fuzzy systems with defuzzification are universal approximators
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Reasoning with truth values on compacted fuzzy chained rules
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
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
IEEE Transactions on Fuzzy Systems
Some approximation properties of adaptive fuzzy systems with variable universe of discourse
Information Sciences: an International Journal
Center-of-gravity fuzzy systems based on normal fuzzy implications
Computers & Mathematics with Applications
Complete solution sets of inf → interval-valued fuzzy relation equations
Information Sciences: an International Journal
Information Sciences: an International Journal
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A formula is first presented to compute the lower upper bounds on the number of fuzzy sets to achieve pre-specified approximation accuracy for an arbitrary multivariate continuous function. The necessary condition for Boolean fuzzy systems as universal approximators with minimal system configurations is then discussed. Two examples are provided to demonstrate how to design a Boolean fuzzy system in order to approximate a given continuous function with a required approximation accuracy.