2015
DOI: 10.1016/j.asoc.2015.02.017
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TSK fuzzy model with minimal parameters

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Cited by 16 publications
(6 citation statements)
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“…From the table, it is clearly shown that the performances including the number of neurons, the number of parameters, RMSE for testing based on our approach are much better than the other existing methods. From Table 1, firstly, it is clearly shown that, in comparing with the existing methods and results, the FNN obtained by our approach is the most accurate one with the testing RMSE as 0.0225, which is less than half of the testing RMSE 0.05 given in [32] as the most accurate existing result in the literature; secondly, the FNN from our approach is the simplest and most compact one. In comparing with the most accurate existing model given in [32], our FNN with 5 neurons and 35 parameters are significantly less than that one with 7 neurons and 37 parameters.…”
Section: Simulation Experimentsmentioning
confidence: 72%
See 1 more Smart Citation
“…From the table, it is clearly shown that the performances including the number of neurons, the number of parameters, RMSE for testing based on our approach are much better than the other existing methods. From Table 1, firstly, it is clearly shown that, in comparing with the existing methods and results, the FNN obtained by our approach is the most accurate one with the testing RMSE as 0.0225, which is less than half of the testing RMSE 0.05 given in [32] as the most accurate existing result in the literature; secondly, the FNN from our approach is the simplest and most compact one. In comparing with the most accurate existing model given in [32], our FNN with 5 neurons and 35 parameters are significantly less than that one with 7 neurons and 37 parameters.…”
Section: Simulation Experimentsmentioning
confidence: 72%
“…From Table 1, firstly, it is clearly shown that, in comparing with the existing methods and results, the FNN obtained by our approach is the most accurate one with the testing RMSE as 0.0225, which is less than half of the testing RMSE 0.05 given in [32] as the most accurate existing result in the literature; secondly, the FNN from our approach is the simplest and most compact one. In comparing with the most accurate existing model given in [32], our FNN with 5 neurons and 35 parameters are significantly less than that one with 7 neurons and 37 parameters. In comparing with the other simplest FNN given in [34], our FNN has the same numbers of neurons and parameters, our testing RMSE as 0.0225 is less than one-seventh of the testing RMSE 0.16 for that FNN obtained in [34]; thirdly, the FNN obtained by our approach has no redundant or highly similar fuzzy rules, which shows that our structure initialization method sometimes can obtain very simple and accurate FNN even without the simplification phase, and therefore confirms the effectiveness of our method; fourthly, the training and testing NRMSEs for the obtained FNN are 0.01 and 0.0047 respectively, which are very close to 0 and therefore further confirm the accuracy of the obtained FNN by the proposed approach.…”
Section: Simulation Experimentsmentioning
confidence: 72%
“…T-S fuzzy system can provide a reasonable framework for modeling by decomposition of a nonlinear system into a collection of local linear models. And it is one of the most used because of its good results in different areas and due to its mathematical treatability [ 29 ].…”
Section: Background and Methodsmentioning
confidence: 99%
“…collection of local linear models. And it is one of the most used because of its good results in different areas and due to its mathematical treatability [29].…”
Section: Plos Onementioning
confidence: 99%
“…To formalize the application of ML methods, the ANFIS design can be considered a multi-layered connectionist framework, as represented in figure 4.2. The model's knowledge base uses Takagi and Sugeno's [34] fuzziness models. Fuzzy sets correspond to both crucial and regular input feature variables, and fuzzy rules are made by linearly combining a constant and a data object.…”
Section: Nfmentioning
confidence: 99%