Interval Type-2 Fuzzy Logic System Based on Multi-resolution Analysis
Wei Yue Ding · Journal of Southwest Jiaotong University · 2011
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.