From fuzzy sets to interval-valued and Atanassov intuitionistic fuzzy sets: a unified view of different axiomatic measures
| dc.contributor.author | Couso, Inés | |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute of Smart Cities - ISC | en |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.date.accessioned | 2020-01-13T13:09:22Z | |
| dc.date.available | 2020-01-13T13:09:22Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | We examine a broad collection of axiomatic definitions from various and diverse contexts, within the domain of fuzzy sets. We evaluate their respective extensions to the case of interval-valued fuzzy sets and intuitionistic fuzzy sets, from a purely formal point of view. We conclude that a large number of such extensions follow similar formal procedures This fact allows us to formulate a general procedure which encompasses all the reviewed extensions as particular cases of it. The new general formulation allows us to identify three different procedures to derive the corresponding extension to the field of interval-valued fuzzy sets or to the field of intuitionistic fuzzy sets from a specific real-valued measure in the context of fuzzy sets. These three processes agglutinate a multitude of particular constructions found in the literature. | en |
| dc.description.sponsorship | This work is partially supported by TIN2014-56967-R, TIN2016-77356-P, TIN2017-84804-R (Spanish Ministry of Science and Innovation) and FC-15-GRUPIN14-073 (Regional Ministry of the Principality of Asturias). | en |
| dc.format.extent | 10 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | I. Couso and H. Bustince, 'From Fuzzy Sets to Interval-Valued and Atanassov Intuitionistic Fuzzy Sets: A Unified View of Different Axiomatic Measures,' in IEEE Transactions on Fuzzy Systems, vol. 27, no. 2, pp. 362-371, Feb. 2019. | en |
| dc.identifier.doi | 10.1109/TFUZZ.2018.2855654 | |
| dc.identifier.issn | 1063-6706 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/36051 | |
| dc.language.iso | eng | en |
| dc.publisher | IEEE | en |
| dc.relation.ispartof | IEEE Transactions on Fuzzy Systems, 27 (2), 362-371, 2019 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//TIN2014-56967-R/ES/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/ES/1PE/TIN2016-77356-P/ | |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/TIN2017-84804-R/ES/ | |
| dc.relation.publisherversion | https://doi.org/10.1109/TFUZZ.2018.2855654 | |
| dc.rights | © 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 work | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Interval-valued fuzzy sets | en |
| dc.subject | Atanassov intuitionistic fuzzy sets | en |
| dc.subject | Extensions of fuzzy sets | en |
| dc.title | From fuzzy sets to interval-valued and Atanassov intuitionistic fuzzy sets: a unified view of different axiomatic measures | 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 |