Exploring Constrained Type-2 fuzzy sets
Fuzzy logic has been widely used to model human reasoning thanks to its inherent capability of handling uncertainty. In particular, the introduction of Type-2 fuzzy sets added the possibility of expressing uncertainty even on the definition of the membership functions. Type-2 sets, however, don’t po...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Published: |
2018
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| Online Access: | https://eprints.nottingham.ac.uk/52775/ |
| _version_ | 1848798806892609536 |
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| author | D’Alterio, Pasquale Garibaldi, Jonathan M. Pourabdollah, Amir |
| author_facet | D’Alterio, Pasquale Garibaldi, Jonathan M. Pourabdollah, Amir |
| author_sort | D’Alterio, Pasquale |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Fuzzy logic has been widely used to model human reasoning thanks to its inherent capability of handling uncertainty. In particular, the introduction of Type-2 fuzzy sets added the possibility of expressing uncertainty even on the definition of the membership functions. Type-2 sets, however, don’t pose any restrictions on the continuity or convexity of their embedded sets while these properties may be desirable in certain contexts. To overcome this problem, Constrained Type-2 fuzzy sets have been proposed. In this paper, we focus on Interval Constrained Type-2 sets to see how their unique structure can be exploited to build a new inference process. This will set some ground work for future developments, such as the design of a new defuzzification process for Constrained Type-2 fuzzy systems. |
| first_indexed | 2025-11-14T20:25:38Z |
| format | Conference or Workshop Item |
| id | nottingham-52775 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T20:25:38Z |
| publishDate | 2018 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-527752020-05-04T19:45:37Z https://eprints.nottingham.ac.uk/52775/ Exploring Constrained Type-2 fuzzy sets D’Alterio, Pasquale Garibaldi, Jonathan M. Pourabdollah, Amir Fuzzy logic has been widely used to model human reasoning thanks to its inherent capability of handling uncertainty. In particular, the introduction of Type-2 fuzzy sets added the possibility of expressing uncertainty even on the definition of the membership functions. Type-2 sets, however, don’t pose any restrictions on the continuity or convexity of their embedded sets while these properties may be desirable in certain contexts. To overcome this problem, Constrained Type-2 fuzzy sets have been proposed. In this paper, we focus on Interval Constrained Type-2 sets to see how their unique structure can be exploited to build a new inference process. This will set some ground work for future developments, such as the design of a new defuzzification process for Constrained Type-2 fuzzy systems. 2018-07-08 Conference or Workshop Item PeerReviewed D’Alterio, Pasquale, Garibaldi, Jonathan M. and Pourabdollah, Amir (2018) Exploring Constrained Type-2 fuzzy sets. In: 2018 IEEE World Congress on Computational Intelligence (WCCI 2018), 8-13 July 2018, Rio de Janeiro, Brazil. |
| spellingShingle | D’Alterio, Pasquale Garibaldi, Jonathan M. Pourabdollah, Amir Exploring Constrained Type-2 fuzzy sets |
| title | Exploring Constrained Type-2 fuzzy sets |
| title_full | Exploring Constrained Type-2 fuzzy sets |
| title_fullStr | Exploring Constrained Type-2 fuzzy sets |
| title_full_unstemmed | Exploring Constrained Type-2 fuzzy sets |
| title_short | Exploring Constrained Type-2 fuzzy sets |
| title_sort | exploring constrained type-2 fuzzy sets |
| url | https://eprints.nottingham.ac.uk/52775/ |