Publication: Weakly maxitive set functions and their possibility distributions
Authors
Kupper, Michael ; Zapata García, José Miguel
item.page.secondaryauthor
item.page.director
Publisher
Elsevier
publication.page.editor
publication.page.department
DOI
https://doi.org/10.1016/j.fss.2023.03.009
item.page.type
info:eu-repo/semantics/article
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
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.
publication.page.subject
Citation
Fuzzy Sets and Systems 467(2023) 108506
item.page.embargo
Collections
Ir a Estadísticas
Este ítem está sujeto a una licencia Creative Commons. http://creativecommons.org/licenses/by/4.0/