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On the concept of meaningfulness in constrained type-2 fuzzy sets

D'Alterio, Pasquale; Garibaldi, Jonathan M.; John, Robert

Authors

Pasquale D'Alterio

Robert John



Abstract

Constrained type-2 fuzzy sets have been proposed as a tool to model type-2 fuzzy sets starting from a type-1 generator set with uncertainty. This constrained representation only defines as acceptable the embedded sets that have the same shape as the generator set in order to process only membership functions that are considered "meaningful" when using fuzzy operators such as centroid defuzzification. However, the idea of "meaningfulness" has never been clearly defined; at the same time there are some contexts in which a given concept (e.g. medium height) can be reasonably represented by multiple shapes, such as triangular and Gaussian. The aim of this paper is both to formally define the idea of meaningfulness of shapes and to extend the formal definitions of constrained interval type-2 fuzzy sets in order to allow the presence of multiple shapes among the acceptable embedded sets.

Citation

D'Alterio, P., Garibaldi, J. M., & John, R. (2019). On the concept of meaningfulness in constrained type-2 fuzzy sets. In 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE). https://doi.org/10.1109/FUZZ-IEEE.2019.8858942

Conference Name International Conference on Fuzzy Systems (FUZZ-IEEE 2019)
Start Date Jun 23, 2019
End Date Jun 26, 2019
Acceptance Date Mar 7, 2019
Online Publication Date Oct 10, 2019
Publication Date Jun 26, 2019
Deposit Date Apr 3, 2019
Publicly Available Date Apr 3, 2019
Publisher Institute of Electrical and Electronics Engineers
Book Title 2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)
DOI https://doi.org/10.1109/FUZZ-IEEE.2019.8858942
Public URL https://nottingham-repository.worktribe.com/output/1735064
Publisher URL https://ieeexplore.ieee.org/document/8858942
Related Public URLs https://attend.ieee.org/fuzzieee-2019/
Additional Information © 2019 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, 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 component of this work in other works.

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