Weakly maxitive set functions and their possibility distributions

Kupper, Michael; Zapata García, José Miguel

Publication:
Weakly maxitive set functions and their possibility distributions

dc.contributor.author	Kupper, Michael
dc.contributor.author	Zapata García, José Miguel
dc.contributor.department	Estadística e Investigación Operativa
dc.date.accessioned	2025-01-26T10:04:59Z
dc.date.available	2025-01-26T10:04:59Z
dc.date.issued	2023-03-22
dc.description	© 2023 The Author(s). This manuscript version is made available under the CC-BY 4.0 license http://creativecommons.org/licenses/by/4.0/. This document is the Published version of a Published Work that appeared in final form in Fuzzy Sets and Systems. To access the final edited and published work see https://doi.org/10.1016/j.fss.2023.03.009
dc.description.abstract	The Shilkret integral with respect to a completely maxitive capacity is fully determined by a possibility distribution. In this paper, we introduce a weaker topological form of maxitivity and show that under this assumption the Shilkret integral is still determined by its possibility distribution for functions that are sufficiently regular. Motivated by large deviations theory, we provide a Laplace principle for maxitive integrals and characterize the possibility distribution under certain separation and convexity assumptions. Moreover, we show a maxitive integral representation result for weakly maxitive non-linear expectations. The theoretical results are illustrated by providing large deviations bounds for sequences of capacities, and by deriving a monotone analogue of Cramér's theorem.	es
dc.format	application/pdf	es
dc.format.extent	27	es
dc.identifier.citation	Fuzzy Sets and Systems 467(2023) 108506
dc.identifier.doi	https://doi.org/10.1016/j.fss.2023.03.009
dc.identifier.issn	Print: 0165-0114
dc.identifier.uri	http://hdl.handle.net/10201/149290
dc.language	eng	es
dc.publisher	Elsevier	es
dc.relation	Sin financiación externa a la Universidad	es
dc.relation.publisherversion	https://www.sciencedirect.com/science/article/pii/S0165011423001318?via%3Dihub
dc.rights	info:eu-repo/semantics/openAccess	es
dc.rights	Atribución 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by/4.0/	*
dc.subject	Shilkret integral	es
dc.subject	Capacity	es
dc.subject	Possibility distribution	es
dc.subject	Weak maxitivity	es
dc.subject	Large deviation principle	es
dc.subject	Laplace principle	es
dc.title	Weakly maxitive set functions and their possibility distributions	es
dc.type	info:eu-repo/semantics/article	es
dspace.entity.type	Publication	es

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