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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 |