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探讨模糊系统的函数逼近能力是模糊系统理论研究的一个重要的课题.本文首次讨论了在两种推理规则情形下由三Ⅰ支持度算法和模糊熵三Ⅰ算法设计的模糊系统的响应能力.针对三Ⅰ支持度算法,分别就正则蕴涵算子和11个具体的模糊蕴涵算子,考察了相应模糊系统的响应能力,讨论了基于模糊熵三Ⅰ算法和三Ⅰ算法设计的模糊系统的响应函数之间的关系.此外,在多规则情形下,研究了推理过程中推理与聚合的先后次序对控制性能的影响.
To explore the function approximation ability of fuzzy systems is an important issue in the research of fuzzy system theory.This paper firstly discusses the response ability of fuzzy systems designed by the three support algorithms and the fuzzy entropy III algorithms under the two inference rules. Three support algorithms, respectively, the regular implication operator and 11 specific fuzzy implication operator, investigated the response capacity of the corresponding fuzzy system, discussed the fuzzy system based on the fuzzy entropy III Ⅰ algorithm and the three Ⅰ algorithm design of the response function In addition, in the case of multi-rules, the influence of the order of reasoning and aggregation in the inference process on the control performance is studied.