The Usefulness of Complete Lattices in Reliability Theory

The main aim of this paper is to show how lattice theory in the very next future will be a useful tool in analysing complex real reliability problems, not properly modelled within classical reliability theory. The introduction of a complete lattice as a state space appears not only of theoretical im...

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Detalles Bibliográficos
Autores: Montero De Juan, Francisco Javier, Cappelle, Bart, Kerre, Etienne E.
Tipo de recurso: capítulo de libro
Fecha de publicación:1995
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/60893
Acceso en línea:https://hdl.handle.net/20.500.14352/60893
Access Level:acceso abierto
Palabra clave:519.8
Complete lattices
Multistate structure functions
Non-binary reliability theory.
Investigación operativa (Matemáticas)
1207 Investigación Operativa
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spelling The Usefulness of Complete Lattices in Reliability TheoryMontero De Juan, Francisco JavierCappelle, BartKerre, Etienne E.519.8Complete latticesMultistate structure functionsNon-binary reliability theory.Investigación operativa (Matemáticas)1207 Investigación OperativaThe main aim of this paper is to show how lattice theory in the very next future will be a useful tool in analysing complex real reliability problems, not properly modelled within classical reliability theory. The introduction of a complete lattice as a state space appears not only of theoretical importance that allows to understand several phenomena with respect to reliability theory better, but as a need claimed from practical engineering. Two important topics are discussed in this general framework: incomparability of component and system states and the duality principle. The strong relationship between the ideas of fuzzy set theory and the ideas that led to the introduction of the theory of multistate structure functions will become clear.Physica-Verlag HDOnisawa, TakehisaKacprzyk, JanuszUniversidad Complutense de Madrid19951995-01-0119951995-01-01book parthttp://purl.org/coar/resource_type/c_3248info:eu-repo/semantics/bookPartapplication/pdfhttps://hdl.handle.net/20.500.14352/60893reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/608932026-06-02T12:44:21Z
dc.title.none.fl_str_mv The Usefulness of Complete Lattices in Reliability Theory
title The Usefulness of Complete Lattices in Reliability Theory
spellingShingle The Usefulness of Complete Lattices in Reliability Theory
Montero De Juan, Francisco Javier
519.8
Complete lattices
Multistate structure functions
Non-binary reliability theory.
Investigación operativa (Matemáticas)
1207 Investigación Operativa
title_short The Usefulness of Complete Lattices in Reliability Theory
title_full The Usefulness of Complete Lattices in Reliability Theory
title_fullStr The Usefulness of Complete Lattices in Reliability Theory
title_full_unstemmed The Usefulness of Complete Lattices in Reliability Theory
title_sort The Usefulness of Complete Lattices in Reliability Theory
dc.creator.none.fl_str_mv Montero De Juan, Francisco Javier
Cappelle, Bart
Kerre, Etienne E.
author Montero De Juan, Francisco Javier
author_facet Montero De Juan, Francisco Javier
Cappelle, Bart
Kerre, Etienne E.
author_role author
author2 Cappelle, Bart
Kerre, Etienne E.
author2_role author
author
dc.contributor.none.fl_str_mv Onisawa, Takehisa
Kacprzyk, Janusz
Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 519.8
Complete lattices
Multistate structure functions
Non-binary reliability theory.
Investigación operativa (Matemáticas)
1207 Investigación Operativa
topic 519.8
Complete lattices
Multistate structure functions
Non-binary reliability theory.
Investigación operativa (Matemáticas)
1207 Investigación Operativa
description The main aim of this paper is to show how lattice theory in the very next future will be a useful tool in analysing complex real reliability problems, not properly modelled within classical reliability theory. The introduction of a complete lattice as a state space appears not only of theoretical importance that allows to understand several phenomena with respect to reliability theory better, but as a need claimed from practical engineering. Two important topics are discussed in this general framework: incomparability of component and system states and the duality principle. The strong relationship between the ideas of fuzzy set theory and the ideas that led to the introduction of the theory of multistate structure functions will become clear.
publishDate 1995
dc.date.none.fl_str_mv 1995
1995-01-01
1995
1995-01-01
dc.type.none.fl_str_mv book part
http://purl.org/coar/resource_type/c_3248
dc.type.openaire.fl_str_mv info:eu-repo/semantics/bookPart
format bookPart
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/60893
url https://hdl.handle.net/20.500.14352/60893
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Physica-Verlag HD
publisher.none.fl_str_mv Physica-Verlag HD
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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