Interval Type-2 Fuzzy Logic System Based on Multi-resolution Analysis
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摘要: 为了更有效地表达和处理系统的不确定性,提出了基于多分辨率分析的区间类型2(简称多分辨率区间 类型2)模糊系统,构造了多分辨率区间类型2隶属度函数,并给出了基于尺度函数分解的结构和参数学习算法. 多分辨率区间类型2模糊系统的前件是多分辨率隶属度函数,后件是输入的线性函数,因此系统可以自适应地 划分输入论域空间,优化系统结构.将多分辨率区间类型2模糊系统应用于带有噪声的时间序列预测,预测结果 的复杂度较小,均方根误差为0.1052.Abstract: In order to effectively express and deal with the uncertainty of systems, an interval type-2 fuzzy logic system based on multi-resolution analysis was proposed, and a multi-resolution interval type-2 membership function was constructed. In addition, its structure and learning algorithm were given based on scaling function decomposition. The antecedent of the multi-resolution interval type-2 fuzzy system is a multi-resolution membership function, and the consequent is a linear function of inputs. As a result, the multi-resolution interval type-2 fuzzy system can divide the input universe adaptively and optimize system architecture. Finally, a noisy time series was predicted using the multi-resolution interval type-2 fuzzy system. The complexity of the prediction result is small, and the root-mean-square error is 0.105 2.
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Key words:
- multi-resolution analysis /
- intervaltype-2 fuzzy logic system /
- time series /
- prediction
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