On transitioning from type-1 to interval type-2 fuzzy logic systems

Aladi, JH, Wagner, C, Garibaldi, JM and Pourabdollah, A ORCID: https://orcid.org/0000-0001-7737-1393, 2015. On transitioning from type-1 to interval type-2 fuzzy logic systems. In: Yazici, A, Pal, NR, Kaymak, U, Martin, T, Ishibuchi, H, Lin, C-T, Sousa, JMC and Tütmez, B, eds., 2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), Istanbul, Turkey, 2-5 August 2015. Piscataway, NJ: Institute of Electrical and Electronics Engineers, pp. 1472-1479. ISBN 9781467374286

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Abstract

Capturing the uncertainty arising from system noise has been a core feature of fuzzy logic systems (FLSs) for many years. This paper builds on previous work and explores the methodological transition of type-l (Tl) to interval type-2 fuzzy sets (IT2 FSs) for given "levels" of uncertainty. Specifically, we propose to transition from Tl to IT2 FLSs through varying the size of the Footprint Of Uncertainty (FOU) of their respective FSs while maintaining the original FS shape (e.g., triangular) and keeping the size of the FOU over the FS as constant as possible. The latter is important as it enables the systematic relating of FOU size to levels of uncertainty and vice versa, while the former enables an intuitive comparison between the Tl and T2 FSs. The effectiveness of the proposed method is demonstrated through a series of experiments using the well-known Mackey-Glass (MG) time series prediction problem. The results are compared with the results of the IT2 FS creation method introduced in [1] which follows a similar methodology as the proposed approach but does not maintain the membership function (MF) shape.

Item Type:	Chapter in book
Creators:	Aladi, J.H., Wagner, C., Garibaldi, J.M. and Pourabdollah, A.
Publisher:	Institute of Electrical and Electronics Engineers
Place of Publication:	Piscataway, NJ
Date:	2015
ISBN:	9781467374286
Identifiers:	Number Type 10.1109/FUZZ-IEEE.2015.7338004 DOI
Divisions:	Schools > School of Science and Technology
Record created by:	Jonathan Gallacher
Date Added:	05 Apr 2018 15:36
Last Modified:	05 Apr 2018 15:57
URI:	https://irep.ntu.ac.uk/id/eprint/33206

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