Elliptic membership functions and the modeling uncertainty in type-2 fuzzy logic systems as applied to time series prediction

Kayacan, Erdal and Coupland, Simon and John, Robert and Khanesar, Mojtaba Ahmadieh (2017) Elliptic membership functions and the modeling uncertainty in type-2 fuzzy logic systems as applied to time series prediction. In: 2017 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 9-12 July 2017, Naples, Italy.

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Abstract

In this paper, our aim is to compare and contrast various ways of modeling uncertainty by using different type-2 fuzzy membership functions available in literature. In particular we focus on a novel type-2 fuzzy membership function–”Elliptic membership function”. After briefly explaining the motivation behind the suggestion of the elliptic membership function, we analyse the uncertainty distribution along its support, and we compare its uncertainty modeling capability with the existing membership functions. We also show how the elliptic membership functions perform in fuzzy arithmetic. In addition to its extra advantages over the existing type-2 fuzzy membership functions such as having decoupled parameters for its support and width, this novel membership function has some similar features to the Gaussian and triangular membership functions in addition and multiplication operations. Finally, we have tested the prediction capability of elliptic membership functions using interval type-2 fuzzy logic systems on US Dollar/Euro exchange rate prediction problem. Throughout the simulation studies, an extreme learning machine is used to train the interval type-2 fuzzy logic system. The prediction results show that, in addition to their various advantages mentioned above, elliptic membership functions have comparable prediction results when compared to Gaussian and triangular membership functions.

Item Type: Conference or Workshop Item (Paper)
Additional Information: doi:10.1109/FUZZ-IEEE.2017.8015457 © 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.
Keywords: Elliptic membership function, type-2 fuzzy logic theory, uncertainty, fuzzy sets, Gaussian, triangular, time series prediction
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Computer Science
Identification Number: 10.1109/FUZZ-IEEE.2017.8015457
Depositing User: Eprints, Support
Date Deposited: 30 Aug 2017 10:37
Last Modified: 30 Aug 2017 13:06
URI: http://eprints.nottingham.ac.uk/id/eprint/45241

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