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On Similarity-based Fuzzy Reasoning Models Defined by Biimplications
GU Minqiang, LIU Zhibin, CHENG Zhenmin
Acta Mathematicae Applicatae Sinica ›› 2015, Vol. 38 ›› Issue (3) : 477-495.
PDF(449 KB)
PDF(449 KB)
On Similarity-based Fuzzy Reasoning Models Defined by Biimplications
Similarity-based fuzzy reasoning models defined by biimplication are studied. Firstly consider FMP problem, we put forward four kinds of models of similarity-based fuzzy reasoning and show that they have the properties of reducibility and continuity. The formulas of similarity-based fuzzy reasoning defined by commonly used implications are discussed. At last we propose the definition of Gaussian fuzzy systems and show that the Gaussian fuzzy systems constructed by the upper similarity-based fuzzy reasoning models are universal approximators.
measure of similarity / similarity-based fuzzy reasoning / Gaussian fuzzy systems / approximation of function {{custom_keyword}} /
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