Type-2 fuzzy entropy-sets
| dc.contributor.author | Miguel Turullols, Laura de | |
| dc.contributor.author | Santos, Helida | |
| dc.contributor.author | Sesma Sara, Mikel | |
| dc.contributor.author | Bedregal, Benjamin | |
| dc.contributor.author | Jurío Munárriz, Aránzazu | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.department | Automática y Computación | es_ES |
| dc.contributor.department | Automatika eta Konputazioa | eu |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2017-09-01T09:04:55Z | |
| dc.date.available | 2017-09-01T09:04:55Z | |
| dc.date.issued | 2017 | |
| dc.description.abstract | The final goal of this study is to adapt the concept of fuzzy entropy of De Luca and Termini to deal with Type-2 Fuzzy Sets. We denote this concept Type-2 Fuzzy Entropy-Set. However, the construction of the notion of entropy measure on an infinite set, such us [0, 1], is not effortless. For this reason, we first introduce the concept of quasi-entropy of a Fuzzy Set on the universe [0, 1]. Furthermore, whenever the membership function of the considered Fuzzy Set in the universe [0, 1] is continuous, we prove that the quasi-entropy of that set is a fuzzy entropy in the sense of De Luca y Termini. Finally, we present an illustrative example where we use Type-2 Fuzzy Entropy-Sets instead of fuzzy entropies in a classical fuzzy algorithm. | en |
| dc.description.sponsorship | This work was supported by the Research Service of Universidad Publica de Navarra as well as by the projects TIN2013-40765-P and TIN2012-32482 of the Spanish Ministry of Science and by the Brazilian funding agencies CNPq (under Proc. No. 480832/2011-0 and No. 307681/2012-2) and CAPES (under Proc. No. 5778/2014-00). | en |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | L. De Miguel et al., "Type-2 fuzzy entropy sets," in IEEE Transactions on Fuzzy Systems, vol. 25, no. 4, pp. 993-1005, Aug. 2017. doi: 10.1109/TFUZZ.2016.2593497 | en |
| dc.identifier.doi | 10.1109/TFUZZ.2016.2593497 | |
| dc.identifier.issn | 1063-6706 IPrint) | |
| dc.identifier.issn | 1941-0034 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/25494 | |
| dc.language.iso | eng | en |
| dc.publisher | IEEE | en |
| dc.relation.ispartof | IEEE Transactions on Fuzzy Systems, vol. 25, no. 4, pp. 993-1005, Aug. 2017 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2013-40765-P/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2012-32482/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1109/TFUZZ.2016.2593497 | |
| dc.rights | © 2017 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. | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Type-2 fuzzy sets | en |
| dc.subject | Quasi-entropy measure | en |
| dc.subject | Entropy measure | en |
| dc.title | Type-2 fuzzy entropy-sets | en |
| dc.type | info:eu-repo/semantics/article | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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