On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets
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 foo...
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| Format: | Article |
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IEEE
2018
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| Online Access: | https://eprints.nottingham.ac.uk/39982/ |
| _version_ | 1848795959525376000 |
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| author | Li, Jiawei John, Robert Coupland, Simon Kendall, Graham |
| author_facet | Li, Jiawei John, Robert Coupland, Simon Kendall, Graham |
| author_sort | Li, Jiawei |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:40:22Z |
| format | Article |
| id | nottingham-39982 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:40:22Z |
| publishDate | 2018 |
| publisher | IEEE |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-399822020-05-04T19:34:34Z https://eprints.nottingham.ac.uk/39982/ On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets Li, Jiawei John, Robert Coupland, Simon Kendall, Graham 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. IEEE 2018-04-30 Article PeerReviewed Li, Jiawei, John, Robert, Coupland, Simon and Kendall, Graham (2018) On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets. IEEE Transactions on Fuzzy Systems, 26 (2). pp. 1036-1039. ISSN 1941-0034 Interval Type-2 fuzzy sets type-reduction defuzzification Nie-Tan operator http://ieeexplore.ieee.org/document/7849207/ doi:10.1109/TFUZZ.2017.2666842 doi:10.1109/TFUZZ.2017.2666842 |
| spellingShingle | Interval Type-2 fuzzy sets type-reduction defuzzification Nie-Tan operator Li, Jiawei John, Robert Coupland, Simon Kendall, Graham On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets |
| title | On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets |
| title_full | On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets |
| title_fullStr | On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets |
| title_full_unstemmed | On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets |
| title_short | On Nie-Tan operator and type-reduction of interval type-2 fuzzy sets |
| title_sort | on nie-tan operator and type-reduction of interval type-2 fuzzy sets |
| topic | Interval Type-2 fuzzy sets type-reduction defuzzification Nie-Tan operator |
| url | https://eprints.nottingham.ac.uk/39982/ https://eprints.nottingham.ac.uk/39982/ https://eprints.nottingham.ac.uk/39982/ |