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中文摘要：
本文首先将相似度理论进一步推广，给出了模糊相似度的公理化定义；然后给出了基于模糊相似度的推理算法，证明了该算法是规则再现的；进一步地，对基于模糊相似度推理算法构造的模糊系统的逼近性能进行了理论分析，给出了该系统具有插值性的充要条件，并给出了满足该条件的两个模糊相似度。最后，证明了当满足一定条件时，该系统具有二阶逼近精度。
英文摘要：
Firstly, a kind of definition of fuzzy similarity degree is introduced, it is a generalization of the similarity measure. Secondly, a novel fuzzy reasoning, called fuzzy similarity-based reasoning method, is proposed. It is proved that this method possesses rule reappearance. Furthermore, the approximation abilities of fuzzy systems which are constructed by fuzzy similarity-based reasoning method are analyzed. The sufficient and necessary condition for the fuzzy systems possessing interpo- lation properties is obtained, and two fuzzy similarity measures which satisfy that condition are given. At last, it is proved that the corresponding fuzzy systems have second order accuracy approximation ability under some conditions.
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