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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 robert.john@nottingham.ac.uk

Simon Coupland

Graham Kendall



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.

Journal Article Type Article
Publication Date Apr 30, 2018
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
APA6 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), doi:10.1109/TFUZZ.2017.2666842
DOI https://doi.org/10.1109/TFUZZ.2017.2666842
Keywords Interval Type-2 fuzzy sets, type-reduction, defuzzification, Nie-Tan operator
Publisher URL http://ieeexplore.ieee.org/document/7849207/
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingh.../end_user_agreement.pdf
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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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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