Fuzzy controllers based on some fuzzy implication operators and their response functions *
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Abstract
Abstract The fuzzy controllers constructed by 23 fuzzy implication operators based on CRI algorithm and their response functions are discussed. The conclusions show that the fuzzy controllers constructed by 9 fuzzy implication operators are universal approximators to continuous functions and can be used in practical fuzzy control systems. And these 9 fuzzy implication operators except for Einstein operator intersection are all the adjoint pairs of some fuzzy implication operators. Besides, there are 3 other fuzzycontrollers formed by fuzzy implication operators being regarded approximately as fitted functions. Keywords: fuzzy implication operatorsCRI algorithmfuzzy controllersresponse functionsuniversal approximators Supported by the National Natural Science Foundation of China (Grant No. 60174013), the Research Fund for the Doctoral Program of Higher Education (Grant No. 20020027013), Science and Technology Key Project Fund of Ministry of Education, and the Major State Basic Research Development Program of China (Grant No. 2002CB312200) Supported by the National Natural Science Foundation of China (Grant No. 60174013), the Research Fund for the Doctoral Program of Higher Education (Grant No. 20020027013), Science and Technology Key Project Fund of Ministry of Education, and the Major State Basic Research Development Program of China (Grant No. 2002CB312200) Notes Supported by the National Natural Science Foundation of China (Grant No. 60174013), the Research Fund for the Doctoral Program of Higher Education (Grant No. 20020027013), Science and Technology Key Project Fund of Ministry of Education, and the Major State Basic Research Development Program of China (Grant No. 2002CB312200)
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Research context
OpenAlex topics: Fuzzy Logic and Control Systems · Advanced Algorithms and Applications · Industrial Technology and Control Systems
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References (10)
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