Show simple item record

dc.contributor.advisorArarat, Çağın
dc.contributor.authorÇetin, Sabri Umur
dc.date.accessioned2021-08-25T10:39:51Z
dc.date.available2021-08-25T10:39:51Z
dc.date.copyright2021-08
dc.date.issued2021-08
dc.date.submitted2021-08-20
dc.identifier.urihttp://hdl.handle.net/11693/76476
dc.descriptionCataloged from PDF version of article.en_US
dc.descriptionThesis (Master's): Bilkent University, Department of Industrial Engineering, İhsan Doğramacı Bilkent University, 2021.en_US
dc.descriptionIncludes bibliographical references (leave 50).en_US
dc.description.abstractAs appropriate generalizations of convex combinations with uncountably many terms, we introduce the so-called Choquet combinations, Choquet decompositions and Choquet convex decompositions, as well as their corresponding hull operators acting on the power sets of Lebesgue-Bochner spaces. We show that Choquet hull coincides with convex hull in the finite-dimensional setting, yet Choquet hull tends to be larger in infinite dimensions. We also provide a quantitative characterization of Choquet hull. Furthermore, we show that Choquet decomposable hull of a set coincides with its (strongly) closed decomposable hull and the Choquet convex decomposable hull of a set coincides with its Choquet decomposable hull of the convex hull. It turns out that the collection of all measurable selections of a closed-valued multifunction is Choquet decomposable and those of a closed convex-valued multifunction is Choquet convex decomposable. Finally, we investigate the operator-type features of Choquet decomposable and Choquet convex decomposable hull operators when applied in succession.en_US
dc.description.statementofresponsibilityby Sabri Umur Çetinen_US
dc.format.extentvii, 54 leaves ; 30 cm.en_US
dc.language.isoEnglishen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectRandom setsen_US
dc.subjectChoquet theoryen_US
dc.titleRandom sets and Choquet-type representationsen_US
dc.title.alternativeRastsal kümeler ve Choquet- tip temsilleren_US
dc.typeThesisen_US
dc.departmentDepartment of Industrial Engineeringen_US
dc.publisherBilkent Universityen_US
dc.description.degreeM.S.en_US
dc.identifier.itemidB153116


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record