A framework for generalized monotonicity of fusion functions

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dc.contributor.authorSesma Sara, Mikel
dc.contributor.authorŠeliga, Adam
dc.contributor.authorBoczek, Michał
dc.contributor.authorJin, LeSheng
dc.contributor.authorKaluszka, Marek
dc.contributor.authorKalina, Martin
dc.contributor.authorBustince Sola, Humberto
dc.contributor.authorMesiar, Radko
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute of Smart Cities - ISCen
dc.contributor.funderUniversidad Pública de Navarra / Nafarroako Unibertsitate Publikoaes
dc.date.accessioned2023-06-21T15:23:09Z
dc.date.available2023-06-21T15:23:09Z
dc.date.issued2023
dc.date.updated2023-06-21T14:50:43Z
dc.description.abstractThe relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of directional monotonicity. In this paper, we propose a general framework for generalized monotonicity that encompasses the different forms of monotonicity that we can find in the literature. Additionally, we introduce various new forms of monotonicity that are not based on directional monotonicity. Specifically, we introduce dilative monotonicity, which requires that the function increases when the inputs have increased by a common factor, and a general form of monotonicity that is dependent on a function T and a subset of the domain Z. This two new generalized monotonicities are the basis to propose a set of different forms of monotonicity. We study the particularities of each of the new proposals and their links to the previous relaxed forms of monotonicity. We conclude that the introduction of dilative monotonicity complements the conditions of weak monotonicity for fusion functions and that (T,Z)-monotonicity yields a condition that is slightly stronger than weak monotonicity. Finally, we present an application of the introduced notions of monotonicity in sentiment analysis.en
dc.description.sponsorshipThis work has been funded by the Spanish ministry MCIN, with the project PID2019-108392GB-I00/AEI/10.13039/501100011033, by the Public University of Navarra under the project PJUPNA25-2022 and by the grant APVV-18-0052 by the Slovak Research and Development Agency. Open access funding provided by Universidad Pública de Navarra.en
dc.format.mimetypeapplication/pdfen
dc.identifier.citationSesma-Sara, M., Seliga, A., Boczek, M., Jin, L., Kaluszka, M., Kalina, M., Bustince, H., Mesiar, R. (2023) A framework for generalized monotonicity of fusion functions. Information Fusion, 97, 1-13. https://doi.org/10.1016/j.inffus.2023.101815.en
dc.identifier.doi10.1016/j.inffus.2023.101815
dc.identifier.issn1566-2535
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/45601
dc.language.isoengen
dc.publisherElsevieren
dc.relation.ispartofInformation Fusion 97 (2023) 101815en
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/
dc.relation.publisherversionhttps://doi.org/10.1016/j.inffus.2023.101815
dc.rights© 2023 The Author(s). This is an open access article under the CC BY-NC-ND license.en
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectFusion functionen
dc.subjectAggregation functionen
dc.subjectMonotonicityen
dc.subjectGeneralized monotonicityen
dc.subjectSentiment analysisen
dc.subjectText classificationen
dc.titleA framework for generalized monotonicity of fusion functionsen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dspace.entity.typePublication
relation.isAuthorOfPublication3a541442-8e82-49d5-903d-60e0aedbc1f6
relation.isAuthorOfPublication1bdd7a0e-704f-48e5-8d27-4486444f82c9
relation.isAuthorOfPublication.latestForDiscovery3a541442-8e82-49d5-903d-60e0aedbc1f6

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