Probabilist set inversion using pseudo-intervals arithmetic
Autor(a) principal: | |
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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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TEMA (Sociedade Brasileira de Matemática Aplicada e Computacional. Online) |
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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 |
_version_ |
1752122219812618240 |