Intertemporal Choice of Fuzzy Soft Sets

[EN]This paper first merges two noteworthy aspects of choice. On the one hand, soft sets and fuzzy soft sets are popular models that have been largely applied to decision making problems, such as real estate valuation, medical diagnosis (glaucoma, prostate cancer, etc.), data mining, or internationa...

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Detalles Bibliográficos
Autores: Alcantud, José Carlos R., Muñoz Torrecillas, María
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2018
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/146658
Acceso en línea:http://hdl.handle.net/10366/146658
Access Level:acceso abierto
Palabra clave:Fuzzy soft set
Intertemporal choice
Comparison table
Decision making
5308 Economía General
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spelling Intertemporal Choice of Fuzzy Soft SetsAlcantud, José Carlos R.Muñoz Torrecillas, MaríaFuzzy soft setIntertemporal choiceComparison tableDecision making5308 Economía General[EN]This paper first merges two noteworthy aspects of choice. On the one hand, soft sets and fuzzy soft sets are popular models that have been largely applied to decision making problems, such as real estate valuation, medical diagnosis (glaucoma, prostate cancer, etc.), data mining, or international trade. They provide crisp or fuzzy parameterized descriptions of the universe of alternatives. On the other hand, in many decisions, costs and benefits occur at different points in time. This brings about intertemporal choices, which may involve an indefinitely large number of periods. However, the literature does not provide a model, let alone a solution, to the intertemporal problem when the alternatives are described by (fuzzy) parameterizations. In this paper, we propose a novel soft set inspired model that applies to the intertemporal framework, hence it fills an important gap in the development of fuzzy soft set theory. An algorithm allows the selection of the optimal option in intertemporal choice problems with an infinite time horizon. We illustrate its application with a numerical example involving alternative portfolios of projects that a public administration may undertake. This allows us to establish a pioneering intertemporal model of choice in the framework of extended fuzzy set theories.MDPI AG202120212018info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/146658reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)InglésAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1466582026-06-07T06:28:51Z
dc.title.none.fl_str_mv Intertemporal Choice of Fuzzy Soft Sets
title Intertemporal Choice of Fuzzy Soft Sets
spellingShingle Intertemporal Choice of Fuzzy Soft Sets
Alcantud, José Carlos R.
Fuzzy soft set
Intertemporal choice
Comparison table
Decision making
5308 Economía General
title_short Intertemporal Choice of Fuzzy Soft Sets
title_full Intertemporal Choice of Fuzzy Soft Sets
title_fullStr Intertemporal Choice of Fuzzy Soft Sets
title_full_unstemmed Intertemporal Choice of Fuzzy Soft Sets
title_sort Intertemporal Choice of Fuzzy Soft Sets
dc.creator.none.fl_str_mv Alcantud, José Carlos R.
Muñoz Torrecillas, María
author Alcantud, José Carlos R.
author_facet Alcantud, José Carlos R.
Muñoz Torrecillas, María
author_role author
author2 Muñoz Torrecillas, María
author2_role author
dc.subject.none.fl_str_mv Fuzzy soft set
Intertemporal choice
Comparison table
Decision making
5308 Economía General
topic Fuzzy soft set
Intertemporal choice
Comparison table
Decision making
5308 Economía General
description [EN]This paper first merges two noteworthy aspects of choice. On the one hand, soft sets and fuzzy soft sets are popular models that have been largely applied to decision making problems, such as real estate valuation, medical diagnosis (glaucoma, prostate cancer, etc.), data mining, or international trade. They provide crisp or fuzzy parameterized descriptions of the universe of alternatives. On the other hand, in many decisions, costs and benefits occur at different points in time. This brings about intertemporal choices, which may involve an indefinitely large number of periods. However, the literature does not provide a model, let alone a solution, to the intertemporal problem when the alternatives are described by (fuzzy) parameterizations. In this paper, we propose a novel soft set inspired model that applies to the intertemporal framework, hence it fills an important gap in the development of fuzzy soft set theory. An algorithm allows the selection of the optimal option in intertemporal choice problems with an infinite time horizon. We illustrate its application with a numerical example involving alternative portfolios of projects that a public administration may undertake. This allows us to establish a pioneering intertemporal model of choice in the framework of extended fuzzy set theories.
publishDate 2018
dc.date.none.fl_str_mv 2018
2021
2021
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/146658
url http://hdl.handle.net/10366/146658
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
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 MDPI AG
publisher.none.fl_str_mv MDPI AG
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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