摘要
模糊推理方法已经被成功地应用于模糊控制器设计,模糊专家系统集成等诸多领域.作为对传统模糊推理方法的改进,我国学者提出了基于三Ⅰ方法的对称蕴涵推理方法.对于模糊推理方法性质的研究,尤其是对推理方法鲁棒性的研究是模糊逻辑领域的一个重要的研究方向.基于规范的Minkowski距离讨论对称蕴涵方法的鲁棒性,给出了针对不同蕴涵算子的四个算法的鲁棒性结论,为模糊推理方法的选择与应用提供科学依据.
Fuzzy reasoning method has been successfully applied to fuzzy controller design, fuzzy expert system integration and many other fields. As an improvement of the traditional fuzzy reasoning method, Chinese scholars have proposed a symmetric inference method based on the triple Ⅰ method.The research on the nature, such as robustness of fuzzy reasoning method is an important direction in the field of fuzzy logic. This paper discusses the robustness of the symmetric implication methods based on the normalized Minkowski distance, the robustness of the four algorithms for several important implication operators are given. Thus it provides a scientific basis for the selection and applications of fuzzy reasoning methods.
引文
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