Publication: A framework for generalized monotonicity of fusion functions
| dc.contributor.author | Sesma Sara, Mikel | |
| dc.contributor.author | Šeliga, Adam | es_ES |
| dc.contributor.author | Boczek, Michał | es_ES |
| dc.contributor.author | Jin, LeSheng | es_ES |
| dc.contributor.author | Kaluszka, Marek | es_ES |
| dc.contributor.author | Kalina, Martin | es_ES |
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Mesiar, Radko | es_ES |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.contributor.department | Institute of Smart Cities - ISC | en |
| dc.contributor.funder | Universidad Pública de Navarra / Nafarroako Unibertsitate Publikoa | es |
| dc.date.accessioned | 2023-06-21T15:23:09Z | |
| dc.date.available | 2023-06-21T15:23:09Z | |
| dc.date.issued | 2023 | |
| dc.date.updated | 2023-06-21T14:50:43Z | |
| dc.description.abstract | The 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.sponsorship | This 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.mimetype | application/pdf | en |
| dc.identifier.citation | Sesma-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.doi | 10.1016/j.inffus.2023.101815 | |
| dc.identifier.issn | 1566-2535 | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/45601 | |
| dc.language.iso | eng | en |
| dc.publisher | Elsevier | en |
| dc.relation.ispartof | Information Fusion 97 (2023) 101815 | en |
| dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-108392GB-I00/ES/ | en |
| dc.relation.publisherversion | https://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.accessRights | Acceso abierto / Sarbide irekia | es |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | en |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
| dc.subject | Fusion function | en |
| dc.subject | Aggregation function | en |
| dc.subject | Monotonicity | en |
| dc.subject | Generalized monotonicity | en |
| dc.subject | Sentiment analysis | en |
| dc.subject | Text classification | en |
| dc.title | A framework for generalized monotonicity of fusion functions | en |
| dc.type | Artículo / Artikulua | es |
| dc.type | info:eu-repo/semantics/article | en |
| dc.type.version | Versión publicada / Argitaratu den bertsioa | es |
| dc.type.version | info:eu-repo/semantics/publishedVersion | en |
| dspace.entity.type | Publication | |
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