Dissimilarity based choquet integrals
| dc.contributor.author | Bustince Sola, Humberto | |
| dc.contributor.author | Mesiar, Radko | |
| dc.contributor.author | Fernández Fernández, Francisco Javier | |
| dc.contributor.author | Galar Idoate, Mikel | |
| dc.contributor.author | Paternain Dallo, Daniel | |
| dc.contributor.department | Estadística, Informática y Matemáticas | es_ES |
| dc.contributor.department | Estatistika, Informatika eta Matematika | eu |
| dc.date.accessioned | 2021-02-19T08:12:07Z | |
| dc.date.available | 2021-06-05T23:00:12Z | |
| dc.date.issued | 2020 | |
| dc.description | Trabajo presentado a la 18th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems, IPMU 2020. Lisboa, junio de 2021 | es |
| dc.description.abstract | In this paper, in order to generalize the Choquet integral, we replace the difference between inputs in its definition by a restricted dissimilarity function and refer to the obtained function as d-Choquet integral. For some particular restricted dissimilarity function the corresponding d-Choquet integral with respect to a fuzzy measure is just the ‘standard’ Choquet integral with respect to the same fuzzy measure. Hence, the class of all d-Choquet integrals encompasses the class of all 'standard' Choquet integrals. This approach allows us to construct a wide class of new functions, d-Choquet integrals, that are possibly, unlike the 'standard' Choquet integral, outside of the scope of aggregation functions since the monotonicity is, for some restricted dissimilarity function, violated and also the range of such functions can be wider than [0, 1], in particular it can be [0, n]. | en |
| dc.description.sponsorship | Supported by the project VEGA 1/0545/20. | en |
| dc.embargo.lift | 2021-06-05 | |
| dc.embargo.terms | 2021-06-05 | |
| dc.format.extent | 9 p. | |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.doi | 10.1007/978-3-030-50143-3_44 | |
| dc.identifier.isbn | 978-3-030-50143-3 (Electronic) | |
| dc.identifier.uri | https://academica-e.unavarra.es/handle/2454/39262 | |
| dc.language.iso | eng | en |
| dc.publisher | Springer | en |
| dc.relation.ispartof | Lesot MJ. et al. (eds) Information Processing and Management of Uncertainty in Knowledge-Based Systems. IPMU 2020. Communications in Computer and Information Science, vol 1238. Springer, Cham, 2020, pp. 565-573. ISBN 978-3-030-50143-4 | en |
| dc.relation.publisherversion | https://doi.org/10.1007/978-3-030-50143-3_44 | |
| dc.rights | © Springer Nature Switzerland AG 2020 | en |
| dc.rights.accessRights | info:eu-repo/semantics/openAccess | |
| dc.subject | Choquet integral | en |
| dc.subject | d-Choquet integral | en |
| dc.subject | Dissimilarity | en |
| dc.subject | Pre-aggregation function | en |
| dc.subject | Aggregation function | en |
| dc.subject | Monotonicity | en |
| dc.subject | Directional monotonicity | en |
| dc.title | Dissimilarity based choquet integrals | en |
| dc.type | info:eu-repo/semantics/conferenceObject | |
| dc.type.version | info:eu-repo/semantics/acceptedVersion | |
| dspace.entity.type | Publication | |
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