- -

Fuzzy preorders and generalized distances: The aggregation problem revisited

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Fuzzy preorders and generalized distances: The aggregation problem revisited

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author González-Hedström, JDD es_ES
dc.contributor.author Miñana, Juan-José es_ES
dc.contributor.author Valero, O es_ES
dc.date.accessioned 2024-02-26T19:02:32Z
dc.date.available 2024-02-26T19:02:32Z
dc.date.issued 2023-10 es_ES
dc.identifier.issn 0165-0114 es_ES
dc.identifier.uri http://hdl.handle.net/10251/202774
dc.description.abstract [EN] Transitive fuzzy relations play a central role in fuzzy research activity. A special type of this class of fuzzy relations is known as indistinguishability operators. Many works have focused their efforts on the study of the properties of such operators. One celebrated problem is to find out the class of functions that allows to aggregate a collection of indistinguishability operators into a new single one. Characterizations of this class of functions have been obtained and the relationship with those functions that aggregate a collection of extended pseudo-metrics into a single one has been revealed in the literature. Moreover, fuzzy preorders are a class of fuzzy transitive relations that extend the notion of indistinguishability operators to the asymmetric context. In this paper we show that there is an equivalence between functions that aggregate fuzzy preorders and those functions that merge extended quasi-pseudo-metrics. The new provided characterizations reveal that, in essence, such functions must be monotone and subadditive. Special attention is paid to the case of fuzzy partial orders (a special case of fuzzy preorder) showing that there is a correspondence between those functions aggregating fuzzy partial orders and those that aggregate extended quasi-metrics. Since all the aforesaid fuzzy relations are transitive we also provide new information about those functions that preserve the class of transitive fuzzy relations in terms of those that preserve the so-called ordinary triangular triplets and those that preserve the triangle inequality. The potential applicability of the exposed theory to multi-criteria decision making problems has been discussed. es_ES
dc.description.sponsorship This research was funded by Proyecto PGC2018-095709-B-C21 financiado por MCIN/AEI/10.13039/501100011033 y FEDER "Una manera de hacer Europa" and from project BUGWRIGHT2. This last project has received funding from the European Union's Horizon 2020 research and innovation programme under grant agreements No. 871260. This publication reflects only the authors views and the European Union is not liable for any use that may be made of the information contained therein. es_ES
dc.language Inglés es_ES
dc.publisher Elsevier es_ES
dc.relation.ispartof Fuzzy Sets and Systems es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Transitive fuzzy relation es_ES
dc.subject Fuzzy preorder es_ES
dc.subject Fuzzy partial order es_ES
dc.subject Extended quasi-pseudo-metric es_ES
dc.subject Asymmetric triangle triplet es_ES
dc.subject Monotonicity es_ES
dc.subject Subadditivity es_ES
dc.subject Aggregation es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Fuzzy preorders and generalized distances: The aggregation problem revisited es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1016/j.fss.2023.108760 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095709-B-C21/ES/METRICAS DIFUSAS Y OPERADORES DE INDISTINGUIBILIDAD: APLICACIONES EN ROBOTICA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/EC/H2020/871260/EU es_ES
dc.rights.accessRights Embargado es_ES
dc.date.embargoEndDate 2025-10-01 es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Politécnica Superior de Gandia - Escola Politècnica Superior de Gandia es_ES
dc.description.bibliographicCitation González-Hedström, J.; Miñana, J.; Valero, O. (2023). Fuzzy preorders and generalized distances: The aggregation problem revisited. Fuzzy Sets and Systems. 474. https://doi.org/10.1016/j.fss.2023.108760 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1016/j.fss.2023.108760 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 474 es_ES
dc.relation.pasarela S\508774 es_ES
dc.contributor.funder European Commission es_ES
dc.contributor.funder Agencia Estatal de Investigación es_ES
dc.contributor.funder European Regional Development Fund es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem