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

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

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: Feb 9, 2017
• 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.
• Contract Date: Jan 20, 2017