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On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets

Li, Jiawei; John, Robert; Coupland, Simon; Kendall, Graham

Authors

Jiawei Li

Robert John

Simon Coupland

GRAHAM KENDALL GRAHAM.KENDALL@NOTTINGHAM.AC.UK
Professor of Computer Science



Abstract

Type-reduction of type-2 fuzzy sets is considered to be a defuzzification bottleneck because of the computational complexity involved in the process of type-reduction. In this research, we prove that the closed-form Nie-Tan operator, which outputs the average of the upper and lower bounds of the footprint of uncertainty, is actually an accurate method for defuzzifing interval type-2 fuzzy sets.

Citation

Li, J., John, R., Coupland, S., & Kendall, G. (2018). On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets. IEEE Transactions on Fuzzy Systems, 26(2), 1036-1039. https://doi.org/10.1109/TFUZZ.2017.2666842

Journal Article Type Article
Acceptance Date Jan 1, 2017
Online Publication Date Feb 9, 2017
Publication Date Apr 30, 2018
Deposit Date Jan 20, 2017
Publicly Available Date Mar 28, 2024
Journal IEEE Transactions on Fuzzy Systems
Print ISSN 1063-6706
Electronic ISSN 1941-0034
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Volume 26
Issue 2
Pages 1036-1039
DOI https://doi.org/10.1109/TFUZZ.2017.2666842
Keywords Interval Type-2 fuzzy sets, type-reduction, defuzzification, Nie-Tan operator
Public URL https://nottingham-repository.worktribe.com/output/929835
Publisher URL http://ieeexplore.ieee.org/document/7849207/
Additional Information c) 2017 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other users, 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 components of this work in other works.

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