Type-(2, k) overlap indices
| dc.contributor.author | Roldán López de Hierro, Antonio Francisco | |
| dc.contributor.author | Roldán, Concepción | |
| dc.contributor.author | Tíscar, Miguel Ángel | |
| dc.contributor.author | Takáč, Zdenko | |
| dc.contributor.author | Santiago, Regivan | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Fernández Fernández, Francisco Javier | |
| dc.contributor.author | Pereira Dimuro, Graçaliz | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.date.accessioned | 2023-02-09T07:12:17Z | |
| dc.date.available | 2023-07-14T23:00:14Z | |
| dc.date.issued | 2022 | |
| dc.date.updated | 2023-02-08T09:03:03Z | |
| dc.description.abstract | Automatic image detection is one of the most im- portant areas in computing due to its potential application in numerous real-world scenarios. One important tool to deal with that is called overlap indices. They were introduced as a procedure to provide the maximum lack of knowledge when comparing two fuzzy objects. They have been successfully applied in the following fields: image processing, fuzzy rule-based systems, decision making and computational brain interfaces. This notion of overlap indices is also necessary for applications in which type-2 fuzzy sets are required. In this paper we introduce the notion of type-(2, k) overlap index (k 0, 1, 2) in the setting of type-2 fuzzy sets. We describe both the reasons that have led to this notion and the relationships that naturally arise among the algebraic underlying structures. Finally, we illustrate how type- (2, k) overlap indices can be employed in the setting of fuzzy rule-based systems when the involved objects are type-2 fuzzy sets. | en |
| dc.description.sponsorship | This manuscript has been partially supported by Junta de Andalucía by Projects A-FQM-170-UGR20 (Program FEDER Andalucía 2014-2020) and FQM-365 (Andalusian CICYE), and also by Projects PID2020-119478GBI00 and PID2019-108392GB-I00 (AEI/10.13039/501100011033, Ministerio de Ciencia e Innovación), by CNPq (301618/2019-4), FAPERGS (19/2551- 0001660) and grant VEGA 1/0267/21. | en |
| dc.embargo.lift | 2023-07-14 | |
| dc.embargo.terms | 2023-07-14 | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Hierro, A. F. R. L. de, Roldan, C., Tiscar, M. A., Takac, Z., Santiago, R. H. N., Dimuro, G. P., Fernandez, J., & Bustince, H. (2022). Type-(2, k) overlap indices. IEEE Transactions on Fuzzy Systems, 1-15. | en |
| dc.identifier.doi | 10.1109/TFUZZ.2022.3188918 | |
| dc.identifier.issn | 1063-6706 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/44677 | |
| dc.language.iso | eng | en |
| dc.publisher | IEEE | en |
| dc.relation.ispartof | IEEE Transactions on Fuzzy Systems, 2022 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement///PID2020-119478GBI00/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1109/TFUZZ.2022.3188918 | |
| dc.rights | © 2022 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 | Decision making | en |
| dc.subject | Fuzzy sets | en |
| dc.subject | Fuzzy systems | en |
| dc.subject | Image processing | en |
| dc.subject | Indexes | en |
| dc.subject | Overlap function | en |
| dc.subject | Overlap index | en |
| dc.subject | Pattern recognition | en |
| dc.subject | Topology | en |
| dc.subject | Type-2 fuzzy set | en |
| dc.title | Type-(2, k) overlap indices | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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