In this paper,the ideas of universal logic is introduced into fuzzy systems.After giving the definitions of the softened fuzzy reasoning models based on Schweizer-Sklar t-norms and Schweizer-Sklar implications,i.e.,α...In this paper,the ideas of universal logic is introduced into fuzzy systems.After giving the definitions of the softened fuzzy reasoning models based on Schweizer-Sklar t-norms and Schweizer-Sklar implications,i.e.,α-models andβ-models,we give the sufficient and necessary conditions for these models to be continuous,and discuss the continuity of some commonly used models.We also prove that when anα-model or aβ-model is used as a fuzzy controller,it has universal property with respect to function approximation.The results we obtained show thatα-models andβ-models are more flexible than the existing models in applications.展开更多
基金This work was supported by the Youth Research Fund of Shantou University(No.YR08003)the National Natural Science Foundation of China(Grant No.10971125).
文摘In this paper,the ideas of universal logic is introduced into fuzzy systems.After giving the definitions of the softened fuzzy reasoning models based on Schweizer-Sklar t-norms and Schweizer-Sklar implications,i.e.,α-models andβ-models,we give the sufficient and necessary conditions for these models to be continuous,and discuss the continuity of some commonly used models.We also prove that when anα-model or aβ-model is used as a fuzzy controller,it has universal property with respect to function approximation.The results we obtained show thatα-models andβ-models are more flexible than the existing models in applications.
