A similarity-based inference engine for non-singleton fuzzy logic systems

Wagner, C., Pourabdollah, A. ORCID: 0000-0001-7737-1393, McCulloch, J., John, R. and Garibaldi, J.M., 2016. A similarity-based inference engine for non-singleton fuzzy logic systems. In: 2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Vancouver, Canada, 24-29 July 2016. Piscataway, NJ: Institute of Electrical and Electronics Engineers, pp. 316-323. ISBN 9781509006267

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Abstract

In non-singleton fuzzy logic systems (NSFLSs) input uncertainties are modelled with input fuzzy sets in order to capture input uncertainty such as sensor noise. The performance of NSFLSs in handling such uncertainties depends both on the actual input fuzzy sets (and their inherent model of uncertainty) and on the way that they affect the inference process. This paper proposes a novel type of NSFLS by replacing the composition-based inference method of type-1 fuzzy relations with a similarity-based inference method that makes NSFLSs more sensitive to changes in the input's uncertainty characteristics. The proposed approach is based on using the Jaccard ratio to measure the similarity between input and antecedent fuzzy sets, then using the measured similarity to determine the firing strength of each individual fuzzy rule. The standard and novel approaches to NSFLSs are experimentally compared for the well-known problem of Mackey-Glass time series predictions, where the NSFLS's inputs have been perturbed with different levels of Gaussian noise. The experiments are repeated for system training under both noisy and noise-free conditions. Analyses of the results show that the new method outperforms the standard approach by substantially reducing the prediction errors.

Item Type:	Chapter in book
Creators:	Wagner, C., Pourabdollah, A., McCulloch, J., John, R. and Garibaldi, J.M.
Publisher:	Institute of Electrical and Electronics Engineers
Place of Publication:	Piscataway, NJ
Date:	2016
ISBN:	9781509006267
Identifiers:	Number Type 10.1109/FUZZ-IEEE.2016.7737703 DOI
Divisions:	Schools > School of Science and Technology
Record created by:	Jonathan Gallacher
Date Added:	06 Apr 2018 07:54
Last Modified:	06 Apr 2018 07:54
URI:	https://irep.ntu.ac.uk/id/eprint/33208

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