Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system

Fuzzy logic systems have been extensively applied for solving many real world application problems because they are found to be universal approximators and many methods, particularly, gradient descent (GD) methods have been widely adopted for the optimization of fuzzy membership functions. Despite i...

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Main Authors: Eyoh, Imo, John, Robert, De Maere, Geert
Format: Conference or Workshop Item
Published: 2017
Online Access:https://eprints.nottingham.ac.uk/51487/
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author Eyoh, Imo
John, Robert
De Maere, Geert
author_facet Eyoh, Imo
John, Robert
De Maere, Geert
author_sort Eyoh, Imo
building Nottingham Research Data Repository
collection Online Access
description Fuzzy logic systems have been extensively applied for solving many real world application problems because they are found to be universal approximators and many methods, particularly, gradient descent (GD) methods have been widely adopted for the optimization of fuzzy membership functions. Despite its popularity, GD still suffers some drawbacks in terms of its slow learning and convergence. In this study, the use of decoupled extended Kalman filter (DEKF) to optimize the parameters of an interval type-2 intuitionistic fuzzy logic system of Tagagi-Sugeno-Kang (IT2IFLS-TSK) fuzzy inference is proposed and results compared with IT2IFLS gradient descent learning. The resulting systems are evaluated on a real world dataset from Australia’s electricity market. The IT2IFLS-DEKF is also compared with its type-1 variant and interval type-2 fuzzy logic system (IT2FLS). Analysis of results reveal performance superiority of IT2IFLS trained with DEKF (IT2IFLS-DEKF) over IT2IFLS trained with gradient descent (IT2IFLS-GD). The proposed IT2IFLS-DEKF also outperforms its type-1 variant and IT2FLS on the same learning platform.
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format Conference or Workshop Item
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institution University of Nottingham Malaysia Campus
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spelling nottingham-514872020-05-04T19:10:38Z https://eprints.nottingham.ac.uk/51487/ Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system Eyoh, Imo John, Robert De Maere, Geert Fuzzy logic systems have been extensively applied for solving many real world application problems because they are found to be universal approximators and many methods, particularly, gradient descent (GD) methods have been widely adopted for the optimization of fuzzy membership functions. Despite its popularity, GD still suffers some drawbacks in terms of its slow learning and convergence. In this study, the use of decoupled extended Kalman filter (DEKF) to optimize the parameters of an interval type-2 intuitionistic fuzzy logic system of Tagagi-Sugeno-Kang (IT2IFLS-TSK) fuzzy inference is proposed and results compared with IT2IFLS gradient descent learning. The resulting systems are evaluated on a real world dataset from Australia’s electricity market. The IT2IFLS-DEKF is also compared with its type-1 variant and interval type-2 fuzzy logic system (IT2FLS). Analysis of results reveal performance superiority of IT2IFLS trained with DEKF (IT2IFLS-DEKF) over IT2IFLS trained with gradient descent (IT2IFLS-GD). The proposed IT2IFLS-DEKF also outperforms its type-1 variant and IT2FLS on the same learning platform. 2017-10-05 Conference or Workshop Item PeerReviewed Eyoh, Imo, John, Robert and De Maere, Geert (2017) Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system. In: 2017 IEEE International Conference on Systems, Man, and Cybernetics (SMC), 5-8 October 2017, Banff, AB, Canada. https://doi.org/10.1109/SMC.2017.8122694 10.1109/SMC.2017.8122694 10.1109/SMC.2017.8122694 10.1109/SMC.2017.8122694
spellingShingle Eyoh, Imo
John, Robert
De Maere, Geert
Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
title Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
title_full Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
title_fullStr Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
title_full_unstemmed Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
title_short Extended Kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
title_sort extended kalman filter-based learning of interval type-2 intuitionistic fuzzy logic system
url https://eprints.nottingham.ac.uk/51487/
https://eprints.nottingham.ac.uk/51487/
https://eprints.nottingham.ac.uk/51487/