Why using topological and analytical methods in aggregation of fuzzy preferences?

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dc.contributor.authorCampión Arrastia, María Jesús
dc.contributor.authorInduráin Eraso, Esteban
dc.contributor.authorRaventós Pujol, Armajac
dc.contributor.departmentEstatistika, Informatika eta Matematikaeu
dc.contributor.departmentInstitute for Advanced Research in Business and Economics - INARBEen
dc.contributor.departmentInstitute for Advanced Materials and Mathematics - INAMAT2en
dc.contributor.departmentEstadística, Informática y Matemáticases_ES
dc.date.accessioned2022-06-17T11:07:50Z
dc.date.available2022-06-17T11:07:50Z
dc.date.issued2020
dc.descriptionPóster presentado a la Third BYMAT Conference: Bringing Young Mathematicians Together, 2020es_ES
dc.description.abstractThe Arrow’s Impossibility Theorem states that there is no function fusing individual preferences into a social one satisfying certain properties of 'common sense'. On the contrary, in some of the fuzzy extensions of the Arrovian model, possibility arises. We have developed a technique which has been able to prove new impossibility results in the fuzzy approach. In this poster, we will explain the fundaments of this technique and in which models we can apply it. This technique, is based on controlling the aggregation of fuzzy preferences through some aggregation functions of dichotomic preferences. For each fuzzy aggregation function, we get a family of dichotomic aggregation functions. Studying this family, we obtain information about the initial aggregation function. We will discuss why the fuzzy Arrovian models in which we can apply this technique are, in some sense, less fuzzy. Moreover, we will expose why we should use topological and analytical methods in the fuzzy models out of the scope of our technique.en
dc.format.mimetypeapplication/pdfen
dc.identifier.urihttps://academica-e.unavarra.es/handle/2454/43181
dc.language.isoengen
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.subjectArrow's impossibility theoremen
dc.subjectFuzzy Arrovian modelsen
dc.subjectDifferential topologyen
dc.titleWhy using topological and analytical methods in aggregation of fuzzy preferences?en
dc.typeinfo:eu-repo/semantics/conferenceObject
dspace.entity.typePublication
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relation.isAuthorOfPublicationc874513c-89e0-4d58-915a-e3b33d41925a
relation.isAuthorOfPublicationdf884328-0efb-4247-925b-cabd35b77cef
relation.isAuthorOfPublication.latestForDiscovery0961993a-a5bf-46e4-ae5e-30f0dd1ecc19

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