2011 International Symposium on Innovations in Intelligent Systems and Applications 2011
DOI: 10.1109/inista.2011.5946080
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Robust Pareto design of ANFIS networks for nonlinear systems with probabilistic uncertainties

Abstract: In this paper, multi-objective evolutionary Pareto optimal design of Adaptive Neuro-Fuzzy Inference System (ANFIS) have been used for modeling of nonlinear systems using input-output data sets with probabilistic uncertainties. In this way, A Monte Carlo Simulation (MCS) is first performed to generate input-output data set using some probabilistic distributions.Multi-objective uniform-diversity genetic algorithms (MUGA) are then used for Pareto optimization of ANFIS networks. The important conflicting objective… Show more

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Cited by 6 publications
(7 citation statements)
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References 17 publications
(19 reference statements)
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“…Therefore, data training must be validated before the model training phase. This study applies Monte Carlo method with probabilistic distribution for data acquisition, and studies have also proved that the approach is valid for the data training acquisition phase [61], [62], [83]. Moreover, with the ANFIS model evaluation mentioned earlier, the ANFIS model with subtractive clustering was found as the fittest model to aggregate the overall supply chain sustainability performance, as proposed.…”
Section: Anfis Topology and Simulationsmentioning
confidence: 99%
“…Therefore, data training must be validated before the model training phase. This study applies Monte Carlo method with probabilistic distribution for data acquisition, and studies have also proved that the approach is valid for the data training acquisition phase [61], [62], [83]. Moreover, with the ANFIS model evaluation mentioned earlier, the ANFIS model with subtractive clustering was found as the fittest model to aggregate the overall supply chain sustainability performance, as proposed.…”
Section: Anfis Topology and Simulationsmentioning
confidence: 99%
“…The objective of the GMDH approach is to ascertain the unspecified parameters, denoted as a i , within the Volterra series. These a i parameters are computed for every pairing of input variables x i and x j inputs using regression methodologies. , Building upon this principle and accounting for the notion of least-squares error, the G function can be formulated as follows for a given set of M observations involving multi-input and single-output data pairs: , E = i = 1 M false( y i = G i normalO false) 2 M y i = f ( x i 1 , x i 2 , ... , x italicim ) , i = 1 , 2 , ... , m …”
Section: Model Developmentmentioning
confidence: 99%
“…These a i parameters are computed for every pairing of input variables x i and x j inputs using regression methodologies. 84 , 85 Building upon this principle and accounting for the notion of least-squares error, the G function can be formulated as follows for a given set of M observations involving multi-input and single-output data pairs: 86 , 87 …”
Section: Model Developmentmentioning
confidence: 99%
“…A multi-objective uniform diversity genetic algorithm (MUGA) has been presented in (Jamali et al, 2010;Jamali, Nariman-zadeh, Ashraf, & Jamali, 2011;Jamali et al, 2008) which will also be used in this work to optimally design the parameters of GMDH model. Structural parameters of Pareto genetic design of GMDHtype neural network are presented at Table 2.…”
Section: Pareto Optimal Design Of Gmdh Type-neural Networkmentioning
confidence: 99%