The semantics of N-soft sets, their applications, and a coda about three-way decision

This paper presents the first detailed analysis of the semantics of N-soft sets. The two benchmark semantics associated with soft sets are perfect fits for N-soft sets. We argue that N-soft sets allow for an utterly new interpretation in logical terms, whereby N-soft sets can be interpreted as a gen...

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Detalles Bibliográficos
Autor: Alcantud, José Carlos R.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2022
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/154216
Acceso en línea:http://hdl.handle.net/10366/154216
Access Level:acceso abierto
Palabra clave:N-soft set
Aggregation
Three-way decision
Decision making
Multi-valued logic
1102.08 Lógica Matemática
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spelling The semantics of N-soft sets, their applications, and a coda about three-way decisionAlcantud, José Carlos R.N-soft setAggregationThree-way decisionDecision makingMulti-valued logic1102.08 Lógica MatemáticaThis paper presents the first detailed analysis of the semantics of N-soft sets. The two benchmark semantics associated with soft sets are perfect fits for N-soft sets. We argue that N-soft sets allow for an utterly new interpretation in logical terms, whereby N-soft sets can be interpreted as a generalized form of incomplete soft sets. Applications include aggregation strategies for these settings. Finally, three-way decision models are designed with both a qualitative and a quantitative character. The first is based on the concepts of V-kernel, V-core and V-support. The second uses an extended form of cardinality that is reminiscent of the idea of scalar sigma-count as a proxy of the cardinality of a fuzzy set.Publicación en abierto financiada por la Universidad de Salamanca como participante en el Acuerdo Transformativo CRUE-CSIC con Elsevier, 2021-2024Elsevier202420242022info:eu-repo/semantics/articleinfo:eu-repo/semantics/submittedVersionhttp://hdl.handle.net/10366/154216reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésCLU-2019–03Attribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1542162026-06-07T06:28:51Z
dc.title.none.fl_str_mv The semantics of N-soft sets, their applications, and a coda about three-way decision
title The semantics of N-soft sets, their applications, and a coda about three-way decision
spellingShingle The semantics of N-soft sets, their applications, and a coda about three-way decision
Alcantud, José Carlos R.
N-soft set
Aggregation
Three-way decision
Decision making
Multi-valued logic
1102.08 Lógica Matemática
title_short The semantics of N-soft sets, their applications, and a coda about three-way decision
title_full The semantics of N-soft sets, their applications, and a coda about three-way decision
title_fullStr The semantics of N-soft sets, their applications, and a coda about three-way decision
title_full_unstemmed The semantics of N-soft sets, their applications, and a coda about three-way decision
title_sort The semantics of N-soft sets, their applications, and a coda about three-way decision
dc.creator.none.fl_str_mv Alcantud, José Carlos R.
author Alcantud, José Carlos R.
author_facet Alcantud, José Carlos R.
author_role author
dc.subject.none.fl_str_mv N-soft set
Aggregation
Three-way decision
Decision making
Multi-valued logic
1102.08 Lógica Matemática
topic N-soft set
Aggregation
Three-way decision
Decision making
Multi-valued logic
1102.08 Lógica Matemática
description This paper presents the first detailed analysis of the semantics of N-soft sets. The two benchmark semantics associated with soft sets are perfect fits for N-soft sets. We argue that N-soft sets allow for an utterly new interpretation in logical terms, whereby N-soft sets can be interpreted as a generalized form of incomplete soft sets. Applications include aggregation strategies for these settings. Finally, three-way decision models are designed with both a qualitative and a quantitative character. The first is based on the concepts of V-kernel, V-core and V-support. The second uses an extended form of cardinality that is reminiscent of the idea of scalar sigma-count as a proxy of the cardinality of a fuzzy set.
publishDate 2022
dc.date.none.fl_str_mv 2022
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/154216
url http://hdl.handle.net/10366/154216
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv CLU-2019–03
dc.rights.none.fl_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution-NonCommercial-NoDerivatives 4.0 Internacional
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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