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Erschienen in:
2018 | OriginalPaper | Buchkapitel
Towards Real-Time Łukasiewicz Fuzzy Systems
verfasst von : Barnabas Bede, Imre J. Rudas
Erschienen in: Recent Developments and the New Direction in Soft-Computing Foundations and Applications
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Abstract
Łukasiewicz fuzzy systems are fuzzy systems based on Łukasiewicz implication and Łukasiewicz t-norm and t-conorm as fuzzy operations. They are deeply rooted in classical logic while being fuzzy systems, so they establish a connection between classical logic and fuzzy logic. Łukasiewicz fuzzy systems with Center of Gravity defuzzification have been shown to have good approximation properties, however Center of Gravity defuzzification makes them to be computationally not very efficient. In the present paper we develop a real-time Łukasiewicz fuzzy system, using the Mean of Maxima defuzzification. This defuzzification will be directly computable for Łukasiewicz systems with certain properties. We investigate approximation properties of such systems and we obtain a generalization of a previous universal approximation result.