Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems

This paper presents a novel application of a hybrid learning approach to the optimisation of membership and non-membership functions of a newly developed interval type-2 intuitionistic fuzzy logic system (IT2 IFLS) of a Takagi-Sugeno-Kang (TSK) fuzzy inference system with neural network learning cap...

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Main Authors: Eyoh, Imo, John, Robert, de Maere, Geert, Kayacan, Erdal
Format: Article
Published: IEEE 2018
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Online Access:https://eprints.nottingham.ac.uk/49496/
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author Eyoh, Imo
John, Robert
de Maere, Geert
Kayacan, Erdal
author_facet Eyoh, Imo
John, Robert
de Maere, Geert
Kayacan, Erdal
author_sort Eyoh, Imo
building Nottingham Research Data Repository
collection Online Access
description This paper presents a novel application of a hybrid learning approach to the optimisation of membership and non-membership functions of a newly developed interval type-2 intuitionistic fuzzy logic system (IT2 IFLS) of a Takagi-Sugeno-Kang (TSK) fuzzy inference system with neural network learning capability. The hybrid algorithms consisting of decou- pled extended Kalman filter (DEKF) and gradient descent (GD) are used to tune the parameters of the IT2 IFLS for the first time. The DEKF is used to tune the consequent parameters in the forward pass while the GD method is used to tune the antecedents parts during the backward pass of the hybrid learning. The hybrid algorithm is described and evaluated, prediction and identification results together with the runtime are compared with similar existing studies in the literature. Performance comparison is made between the proposed hybrid learning model of IT2 IFLS, a TSK-type-1 intuitionistic fuzzy logic system (IFLS-TSK) and a TSK-type interval type-2 fuzzy logic system (IT2 FLS-TSK) on two instances of the datasets under investigation. The empirical comparison is made on the designed systems using three artificially generated datasets and three real world datasets. Analysis of results reveal that IT2 IFLS outperforms its type-1 variants, IT2 FLS and most of the existing models in the literature. Moreover, the minimal run time of the proposed hybrid learning model for IT2 IFLS also puts this model forward as a good candidate for application in real time systems.
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spelling nottingham-494962020-05-04T19:31:14Z https://eprints.nottingham.ac.uk/49496/ Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems Eyoh, Imo John, Robert de Maere, Geert Kayacan, Erdal This paper presents a novel application of a hybrid learning approach to the optimisation of membership and non-membership functions of a newly developed interval type-2 intuitionistic fuzzy logic system (IT2 IFLS) of a Takagi-Sugeno-Kang (TSK) fuzzy inference system with neural network learning capability. The hybrid algorithms consisting of decou- pled extended Kalman filter (DEKF) and gradient descent (GD) are used to tune the parameters of the IT2 IFLS for the first time. The DEKF is used to tune the consequent parameters in the forward pass while the GD method is used to tune the antecedents parts during the backward pass of the hybrid learning. The hybrid algorithm is described and evaluated, prediction and identification results together with the runtime are compared with similar existing studies in the literature. Performance comparison is made between the proposed hybrid learning model of IT2 IFLS, a TSK-type-1 intuitionistic fuzzy logic system (IFLS-TSK) and a TSK-type interval type-2 fuzzy logic system (IT2 FLS-TSK) on two instances of the datasets under investigation. The empirical comparison is made on the designed systems using three artificially generated datasets and three real world datasets. Analysis of results reveal that IT2 IFLS outperforms its type-1 variants, IT2 FLS and most of the existing models in the literature. Moreover, the minimal run time of the proposed hybrid learning model for IT2 IFLS also puts this model forward as a good candidate for application in real time systems. IEEE 2018-02-08 Article PeerReviewed Eyoh, Imo, John, Robert, de Maere, Geert and Kayacan, Erdal (2018) Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems. IEEE Transactions on Fuzzy Systems, 26 (5). pp. 2672-2685. ISSN 1941-0034 Interval type-2 intuitionistic fuzzy logic system; Decoupled extended Kalman filter; Gradient descent algorithm http://ieeexplore.ieee.org/document/8286852/ doi:10.1109/TFUZZ.2018.2803751 doi:10.1109/TFUZZ.2018.2803751
spellingShingle Interval type-2 intuitionistic fuzzy logic system; Decoupled extended Kalman filter; Gradient descent algorithm
Eyoh, Imo
John, Robert
de Maere, Geert
Kayacan, Erdal
Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
title Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
title_full Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
title_fullStr Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
title_full_unstemmed Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
title_short Hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
title_sort hybrid learning for interval type-2 intuitionistic fuzzy logic systems as applied to identification and prediction problems
topic Interval type-2 intuitionistic fuzzy logic system; Decoupled extended Kalman filter; Gradient descent algorithm
url https://eprints.nottingham.ac.uk/49496/
https://eprints.nottingham.ac.uk/49496/
https://eprints.nottingham.ac.uk/49496/