Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships
| dc.contributor.author | Ruiz, Gonzalo | |
| dc.contributor.author | Hagras, Hani | |
| dc.contributor.author | Pomares, Héctor | |
| dc.contributor.author | Rojas, Ignacio | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.department | Automática y Computación | es_ES |
| dc.contributor.department | Automatika eta Konputazioa | eu |
| dc.date.accessioned | 2019-04-03T07:22:25Z | |
| dc.date.available | 2019-04-03T07:22:25Z | |
| dc.date.issued | 2016 | |
| dc.description.abstract | In this paper we will present two theorems for the join and meet operations for general type-2 fuzzy sets with arbitrary secondary memberships, which can be non-convex and/or non-normal type-1 fuzzy sets. These results will be used to derive the join and meet operations of the more general descriptions of interval type-2 fuzzy sets presented in [1], where the secondary grades can be non-convex. Hence, this work will help to explore the potential of type-2 fuzzy logic systems which use the general forms of interval type-2 fuzzy sets which are not equivalent to interval valued fuzzy sets. Several examples for both general type-2 and the more general forms of interval type-2 fuzzy sets are presented. | en |
| dc.description.sponsorship | This work was supported in part by the Spanish Ministry of Science and Technology under project TIN2013-40765-P | en |
| dc.format.extent | 9 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | G. Ruiz, H. Hagras, H. Pomares, I. Rojas and H. Bustince, "Join and Meet Operations for Type-2 Fuzzy Sets With Nonconvex Secondary Memberships," in IEEE Transactions on Fuzzy Systems, vol. 24, no. 4, pp. 1000-1008, 1 Aug. 2016. doi: 10.1109/TFUZZ.2015.2489242 | en |
| dc.identifier.doi | 10.1109/TFUZZ.2015.2489242 | |
| dc.identifier.issn | 1063-6706 (Print) | |
| dc.identifier.issn | 1941-0034 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/32796 | |
| dc.language.iso | eng | en |
| dc.publisher | IEEE | en |
| dc.relation.ispartof | IEEE Transactions on Fuzzy Systems, vol. 24, no. 4, August 2016 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2013-40765-P/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1109/TFUZZ.2015.2489242 | |
| dc.rights | © 2015 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 work | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | General type-2 fuzzy logic | en |
| dc.subject | Nonconvex fuzzy sets | en |
| dc.subject | Type-2 fuzzy logic | en |
| dc.title | Join and meet operations for type-2 fuzzy sets with non-convex secondary memberships | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 1bdd7a0e-704f-48e5-8d27-4486444f82c9 | |
| relation.isAuthorOfPublication.latestForDiscovery | 1bdd7a0e-704f-48e5-8d27-4486444f82c9 |