Probabilist set inversion using pseudo-intervals arithmetic

Detalhes bibliográficos
Autor(a) principal: Kenoufi,A.
Data de Publicação: 2014
Tipo de documento: Artigo
Idioma: eng
Título da fonte: TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512014000100009
Resumo: In this paper, one presents how to use a new interval arithmetic framework based on free algebra construction, called pseudo-intervals, which is associative and distributive and permits to build well-defined inclusion function for interval semi-group and for its associated vector space. One introduces the ψ-algorithm (Probabilist Set Inversion), which performs set inversion of functions and exhibits some numerical examples.
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spelling Probabilist set inversion using pseudo-intervals arithmeticFree algebrapseudo-interval and interval arithmeticset inversionprobabilityIn this paper, one presents how to use a new interval arithmetic framework based on free algebra construction, called pseudo-intervals, which is associative and distributive and permits to build well-defined inclusion function for interval semi-group and for its associated vector space. One introduces the ψ-algorithm (Probabilist Set Inversion), which performs set inversion of functions and exhibits some numerical examples.Sociedade Brasileira de Matemática Aplicada e Computacional2014-04-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512014000100009TEMA (São Carlos) v.15 n.1 2014reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)instname:Sociedade Brasileira de Matemática Aplicada e Computacionalinstacron:SBMAC10.5540/tema.2014.015.01.0097info:eu-repo/semantics/openAccessKenoufi,A.eng2014-06-10T00:00:00Zoai:scielo:S2179-84512014000100009Revistahttp://www.scielo.br/temaPUBhttps://old.scielo.br/oai/scielo-oai.phpcastelo@icmc.usp.br2179-84511677-1966opendoar:2014-06-10T00:00TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacionalfalse
dc.title.none.fl_str_mv Probabilist set inversion using pseudo-intervals arithmetic
title Probabilist set inversion using pseudo-intervals arithmetic
spellingShingle Probabilist set inversion using pseudo-intervals arithmetic
Kenoufi,A.
Free algebra
pseudo-interval and interval arithmetic
set inversion
probability
title_short Probabilist set inversion using pseudo-intervals arithmetic
title_full Probabilist set inversion using pseudo-intervals arithmetic
title_fullStr Probabilist set inversion using pseudo-intervals arithmetic
title_full_unstemmed Probabilist set inversion using pseudo-intervals arithmetic
title_sort Probabilist set inversion using pseudo-intervals arithmetic
author Kenoufi,A.
author_facet Kenoufi,A.
author_role author
dc.contributor.author.fl_str_mv Kenoufi,A.
dc.subject.por.fl_str_mv Free algebra
pseudo-interval and interval arithmetic
set inversion
probability
topic Free algebra
pseudo-interval and interval arithmetic
set inversion
probability
description In this paper, one presents how to use a new interval arithmetic framework based on free algebra construction, called pseudo-intervals, which is associative and distributive and permits to build well-defined inclusion function for interval semi-group and for its associated vector space. One introduces the ψ-algorithm (Probabilist Set Inversion), which performs set inversion of functions and exhibits some numerical examples.
publishDate 2014
dc.date.none.fl_str_mv 2014-04-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512014000100009
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S2179-84512014000100009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.5540/tema.2014.015.01.0097
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
publisher.none.fl_str_mv Sociedade Brasileira de Matemática Aplicada e Computacional
dc.source.none.fl_str_mv TEMA (São Carlos) v.15 n.1 2014
reponame:TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
instname:Sociedade Brasileira de Matemática Aplicada e Computacional
instacron:SBMAC
instname_str Sociedade Brasileira de Matemática Aplicada e Computacional
instacron_str SBMAC
institution SBMAC
reponame_str TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
collection TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online)
repository.name.fl_str_mv TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) - Sociedade Brasileira de Matemática Aplicada e Computacional
repository.mail.fl_str_mv castelo@icmc.usp.br
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