Inference engine based on closure and join operators over Truth Table Binary Relations

Autores
Elloumi, Samir; Boulifa, Bilel; Jaoua, Ali; Saleh, Mohammad; Al Otaibi, Jameela; Frias, Marcelo Fabian
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We propose a conceptual reasoning method for an inference engine. Starting from a knowledge base made of decision rules, we first map each rule to its corresponding Truth Table Binary Relation (TTBR), considered as a formal context. Objects in the domain of TTBR correspond to all possible rule interpretations (in terms of their truth value assignments), and elements in the range of TTBR correspond to the attributes. By using the ‘natural join’ operator in the ‘ContextCombine’ Algorithm, we combine all truth tables into a global relation which has the advantage of containing the complete knowledge of all deducible rules. By conceptual reasoning using closure operators, from the initial rules we obtain all possible conclusions with respect to the global relation. We may then check if expected goals are among these possible conclusions. We also provide an approximate solution for the exponential growth of the global relation, by proposing modular and cooperative conceptual reasoning. We finally present experimental results for two case studies and discuss the effectiveness of our approach.
Fil: Elloumi, Samir. Qatar University; Qatar
Fil: Boulifa, Bilel. Qatar University; Qatar
Fil: Jaoua, Ali. Qatar University; Qatar
Fil: Saleh, Mohammad. Qatar University; Qatar
Fil: Al Otaibi, Jameela. Qatar University; Qatar
Fil: Frias, Marcelo Fabian. Instituto Tecnológico de Buenos Aires. Fac de Ingeniería. Departamento de Informatica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Truth Table Binary Relation
Cooperative Conceptual Reasoning
Closure Operators
Relation Combining
Formal Concept Analysis
Inference Engine
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/33304
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/33304
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Inference engine based on closure and join operators over Truth Table Binary RelationsElloumi, SamirBoulifa, BilelJaoua, AliSaleh, MohammadAl Otaibi, JameelaFrias, Marcelo FabianTruth Table Binary RelationCooperative Conceptual ReasoningClosure OperatorsRelation CombiningFormal Concept AnalysisInference Enginehttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1We propose a conceptual reasoning method for an inference engine. Starting from a knowledge base made of decision rules, we first map each rule to its corresponding Truth Table Binary Relation (TTBR), considered as a formal context. Objects in the domain of TTBR correspond to all possible rule interpretations (in terms of their truth value assignments), and elements in the range of TTBR correspond to the attributes. By using the ‘natural join’ operator in the ‘ContextCombine’ Algorithm, we combine all truth tables into a global relation which has the advantage of containing the complete knowledge of all deducible rules. By conceptual reasoning using closure operators, from the initial rules we obtain all possible conclusions with respect to the global relation. We may then check if expected goals are among these possible conclusions. We also provide an approximate solution for the exponential growth of the global relation, by proposing modular and cooperative conceptual reasoning. We finally present experimental results for two case studies and discuss the effectiveness of our approach.Fil: Elloumi, Samir. Qatar University; QatarFil: Boulifa, Bilel. Qatar University; QatarFil: Jaoua, Ali. Qatar University; QatarFil: Saleh, Mohammad. Qatar University; QatarFil: Al Otaibi, Jameela. Qatar University; QatarFil: Frias, Marcelo Fabian. Instituto Tecnológico de Buenos Aires. Fac de Ingeniería. Departamento de Informatica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/33304Elloumi, Samir; Boulifa, Bilel; Jaoua, Ali; Saleh, Mohammad; Al Otaibi, Jameela; et al.; Inference engine based on closure and join operators over Truth Table Binary Relations; Elsevier; Journal Of Logic And Algebraic Programming; 83; 2; 2-2014; 180-1931567-8326CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1567832614000083info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jlap.2014.02.007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:56:32Zoai:ri.conicet.gov.ar:11336/33304instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:56:33.097CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Inference engine based on closure and join operators over Truth Table Binary Relations
title Inference engine based on closure and join operators over Truth Table Binary Relations
spellingShingle Inference engine based on closure and join operators over Truth Table Binary Relations
Elloumi, Samir
Truth Table Binary Relation
Cooperative Conceptual Reasoning
Closure Operators
Relation Combining
Formal Concept Analysis
Inference Engine
title_short Inference engine based on closure and join operators over Truth Table Binary Relations
title_full Inference engine based on closure and join operators over Truth Table Binary Relations
title_fullStr Inference engine based on closure and join operators over Truth Table Binary Relations
title_full_unstemmed Inference engine based on closure and join operators over Truth Table Binary Relations
title_sort Inference engine based on closure and join operators over Truth Table Binary Relations
dc.creator.none.fl_str_mv Elloumi, Samir
Boulifa, Bilel
Jaoua, Ali
Saleh, Mohammad
Al Otaibi, Jameela
Frias, Marcelo Fabian
author Elloumi, Samir
author_facet Elloumi, Samir
Boulifa, Bilel
Jaoua, Ali
Saleh, Mohammad
Al Otaibi, Jameela
Frias, Marcelo Fabian
author_role author
author2 Boulifa, Bilel
Jaoua, Ali
Saleh, Mohammad
Al Otaibi, Jameela
Frias, Marcelo Fabian
author2_role author
author
author
author
author
dc.subject.none.fl_str_mv Truth Table Binary Relation
Cooperative Conceptual Reasoning
Closure Operators
Relation Combining
Formal Concept Analysis
Inference Engine
topic Truth Table Binary Relation
Cooperative Conceptual Reasoning
Closure Operators
Relation Combining
Formal Concept Analysis
Inference Engine
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We propose a conceptual reasoning method for an inference engine. Starting from a knowledge base made of decision rules, we first map each rule to its corresponding Truth Table Binary Relation (TTBR), considered as a formal context. Objects in the domain of TTBR correspond to all possible rule interpretations (in terms of their truth value assignments), and elements in the range of TTBR correspond to the attributes. By using the ‘natural join’ operator in the ‘ContextCombine’ Algorithm, we combine all truth tables into a global relation which has the advantage of containing the complete knowledge of all deducible rules. By conceptual reasoning using closure operators, from the initial rules we obtain all possible conclusions with respect to the global relation. We may then check if expected goals are among these possible conclusions. We also provide an approximate solution for the exponential growth of the global relation, by proposing modular and cooperative conceptual reasoning. We finally present experimental results for two case studies and discuss the effectiveness of our approach.
Fil: Elloumi, Samir. Qatar University; Qatar
Fil: Boulifa, Bilel. Qatar University; Qatar
Fil: Jaoua, Ali. Qatar University; Qatar
Fil: Saleh, Mohammad. Qatar University; Qatar
Fil: Al Otaibi, Jameela. Qatar University; Qatar
Fil: Frias, Marcelo Fabian. Instituto Tecnológico de Buenos Aires. Fac de Ingeniería. Departamento de Informatica; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description We propose a conceptual reasoning method for an inference engine. Starting from a knowledge base made of decision rules, we first map each rule to its corresponding Truth Table Binary Relation (TTBR), considered as a formal context. Objects in the domain of TTBR correspond to all possible rule interpretations (in terms of their truth value assignments), and elements in the range of TTBR correspond to the attributes. By using the ‘natural join’ operator in the ‘ContextCombine’ Algorithm, we combine all truth tables into a global relation which has the advantage of containing the complete knowledge of all deducible rules. By conceptual reasoning using closure operators, from the initial rules we obtain all possible conclusions with respect to the global relation. We may then check if expected goals are among these possible conclusions. We also provide an approximate solution for the exponential growth of the global relation, by proposing modular and cooperative conceptual reasoning. We finally present experimental results for two case studies and discuss the effectiveness of our approach.
publishDate 2014
dc.date.none.fl_str_mv 2014-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/33304
Elloumi, Samir; Boulifa, Bilel; Jaoua, Ali; Saleh, Mohammad; Al Otaibi, Jameela; et al.; Inference engine based on closure and join operators over Truth Table Binary Relations; Elsevier; Journal Of Logic And Algebraic Programming; 83; 2; 2-2014; 180-193
1567-8326
CONICET Digital
CONICET
url http://hdl.handle.net/11336/33304
identifier_str_mv Elloumi, Samir; Boulifa, Bilel; Jaoua, Ali; Saleh, Mohammad; Al Otaibi, Jameela; et al.; Inference engine based on closure and join operators over Truth Table Binary Relations; Elsevier; Journal Of Logic And Algebraic Programming; 83; 2; 2-2014; 180-193
1567-8326
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1567832614000083
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jlap.2014.02.007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 12.982451

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