Pasquale Dalterio
Constrained Interval Type-2 Fuzzy Sets
Dalterio, Pasquale; Garibaldi, Jonathan M.; John, Robert; Pourabdollah, Amir
Authors
Prof. JONATHAN GARIBALDI JON.GARIBALDI@NOTTINGHAM.AC.UK
Provost and Pvc Unnc
Robert John
Amir Pourabdollah
Abstract
In many contexts, type-2 fuzzy sets are obtained from a type-1 fuzzy set to which we wish to add uncertainty. However, in the current type-2 representation there is no restriction on the shape of the footprint of uncertainty and the embedded sets that can be considered acceptable. This leads, usually, to the loss of the semantic relationship between the type-2 fuzzy set and the concept it models. As a consequence, the interpretability of some of the embedded sets and the explainability of the uncertainty measures obtained from them can decrease. To overcome these issues, constrained type-2 fuzzy sets have been proposed. However, no formal definitions for some of their key components (e.g. acceptable embedded sets) and constrained operations have been given. The goal of this paper is to provide some theoretical underpinning for the definition of constrained type-2 sets, their inferencing and defuzzification method. To conclude, the constrained inference framework is presented, applied to two real world cases and briefly compared to the standard interval type-2 inference and defuzzification method.
Citation
Dalterio, P., Garibaldi, J. M., John, R., & Pourabdollah, A. (2021). Constrained Interval Type-2 Fuzzy Sets. IEEE Transactions on Fuzzy Systems, 29(5), 1212-1225. https://doi.org/10.1109/tfuzz.2020.2970911
Journal Article Type | Article |
---|---|
Acceptance Date | Jan 30, 2020 |
Online Publication Date | Jan 31, 2020 |
Publication Date | 2021-05 |
Deposit Date | Mar 26, 2020 |
Publicly Available Date | Mar 29, 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 | 29 |
Issue | 5 |
Pages | 1212-1225 |
DOI | https://doi.org/10.1109/tfuzz.2020.2970911 |
Keywords | Type-2 fuzzy logic , Embedded sets , Constrained type-2 fuzzy sets |
Public URL | https://nottingham-repository.worktribe.com/output/4204760 |
Publisher URL | https://ieeexplore.ieee.org/document/8977348 |
Files
Constrained Interval Type-2 Fuzzy Sets
(3.7 Mb)
PDF
Publisher Licence URL
https://creativecommons.org/licenses/by/4.0/
You might also like
A Bibliometric Overview of the Field of Type-2 Fuzzy Sets and Systems [Discussion Forum]
(2020)
Journal Article
On the Concept of Meaningfulness in Constrained Type-2 Fuzzy Sets
(2019)
Conference Proceeding
A study on the interpretability of a fuzzy system to control an inverted pendulum
(2019)
Conference Proceeding
Downloadable Citations
About Repository@Nottingham
Administrator e-mail: digital-library-support@nottingham.ac.uk
This application uses the following open-source libraries:
SheetJS Community Edition
Apache License Version 2.0 (http://www.apache.org/licenses/)
PDF.js
Apache License Version 2.0 (http://www.apache.org/licenses/)
Font Awesome
SIL OFL 1.1 (http://scripts.sil.org/OFL)
MIT License (http://opensource.org/licenses/mit-license.html)
CC BY 3.0 ( http://creativecommons.org/licenses/by/3.0/)
Powered by Worktribe © 2024
Advanced Search