Interval type-2 A-intuitionistic fuzzy logic for regression problems

This paper presents an approach to prediction based on a new interval type-2 Atanassov-intuitionistic fuzzy logic system (IT2AIFLS) of Takagi-Sugeno-Kang (TSK) fuzzy inference with neural network learning capability. The gradient descent (GD) algorithm is used to adapt the parameters of the IT2AIFLS...

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Main Authors: Eyoh, Imo, John, Robert, de Maere, Geert
Format: Article
Published: IEEE 2017
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Online Access:https://eprints.nottingham.ac.uk/48037/
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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 This paper presents an approach to prediction based on a new interval type-2 Atanassov-intuitionistic fuzzy logic system (IT2AIFLS) of Takagi-Sugeno-Kang (TSK) fuzzy inference with neural network learning capability. The gradient descent (GD) algorithm is used to adapt the parameters of the IT2AIFLS. The empirical comparison is made on the designed system using some benchmark regression problems - both artificial and real world datasets. Analyses of our results reveal that IT2AIFLS outperforms its type-1 variant, other type-1 fuzzy logic approaches and some type-2 fuzzy systems in the regression tasks. The reason for the improved performance of the proposed framework of IT2AIFLS is because of the introduction of non-membership functions and intuitionistic fuzzy indices into the classical IT2FLS model. This increases the level of fuzziness in the proposed IT2AIFLS framework, thus providing more accurate approximations than AIFLS, classical type-1 and interval type-2 fuzzy logic systems.
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spelling nottingham-480372020-05-04T19:18:53Z https://eprints.nottingham.ac.uk/48037/ Interval type-2 A-intuitionistic fuzzy logic for regression problems Eyoh, Imo John, Robert de Maere, Geert This paper presents an approach to prediction based on a new interval type-2 Atanassov-intuitionistic fuzzy logic system (IT2AIFLS) of Takagi-Sugeno-Kang (TSK) fuzzy inference with neural network learning capability. The gradient descent (GD) algorithm is used to adapt the parameters of the IT2AIFLS. The empirical comparison is made on the designed system using some benchmark regression problems - both artificial and real world datasets. Analyses of our results reveal that IT2AIFLS outperforms its type-1 variant, other type-1 fuzzy logic approaches and some type-2 fuzzy systems in the regression tasks. The reason for the improved performance of the proposed framework of IT2AIFLS is because of the introduction of non-membership functions and intuitionistic fuzzy indices into the classical IT2FLS model. This increases the level of fuzziness in the proposed IT2AIFLS framework, thus providing more accurate approximations than AIFLS, classical type-1 and interval type-2 fuzzy logic systems. IEEE 2017-11-20 Article PeerReviewed Eyoh, Imo, John, Robert and de Maere, Geert (2017) Interval type-2 A-intuitionistic fuzzy logic for regression problems. IEEE Transactions on Fuzzy Systems . ISSN 1941-0034 Interval type-2 A-intuitionistic fuzzy logic system; Regression problems; Gradient descent algorithm http://ieeexplore.ieee.org/document/8115302/ doi:10.1109/TFUZZ.2017.2775599 doi:10.1109/TFUZZ.2017.2775599
spellingShingle Interval type-2 A-intuitionistic fuzzy logic system; Regression problems; Gradient descent algorithm
Eyoh, Imo
John, Robert
de Maere, Geert
Interval type-2 A-intuitionistic fuzzy logic for regression problems
title Interval type-2 A-intuitionistic fuzzy logic for regression problems
title_full Interval type-2 A-intuitionistic fuzzy logic for regression problems
title_fullStr Interval type-2 A-intuitionistic fuzzy logic for regression problems
title_full_unstemmed Interval type-2 A-intuitionistic fuzzy logic for regression problems
title_short Interval type-2 A-intuitionistic fuzzy logic for regression problems
title_sort interval type-2 a-intuitionistic fuzzy logic for regression problems
topic Interval type-2 A-intuitionistic fuzzy logic system; Regression problems; Gradient descent algorithm
url https://eprints.nottingham.ac.uk/48037/
https://eprints.nottingham.ac.uk/48037/
https://eprints.nottingham.ac.uk/48037/