Intertemporal Choice of Fuzzy Soft Sets
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 tr...
| Main Authors: | , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
MDPI
2020
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/7368 |
| _version_ | 1789406623513444352 |
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| author | R. Alcantud, José Carlos Muñoz Torrecillas, María José |
| author_facet | R. Alcantud, José Carlos Muñoz Torrecillas, María José |
| author_sort | R. Alcantud, José Carlos |
| collection | DSpace |
| description | 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 |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-7368 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-73682023-04-12T19:08:52Z Intertemporal Choice of Fuzzy Soft Sets R. Alcantud, José Carlos Muñoz Torrecillas, María José fuzzy soft set intertemporal choice comparison table decision making 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 2020-01-16T10:57:19Z 2020-01-16T10:57:19Z 2018-09-01 info:eu-repo/semantics/article 2073-8994 http://hdl.handle.net/10835/7368 en https://www.mdpi.com/2073-8994/10/9/371 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | fuzzy soft set intertemporal choice comparison table decision making R. Alcantud, José Carlos Muñoz Torrecillas, María José Intertemporal Choice of Fuzzy Soft Sets |
| title | 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_short | Intertemporal Choice of Fuzzy Soft Sets |
| title_sort | intertemporal choice of fuzzy soft sets |
| topic | fuzzy soft set intertemporal choice comparison table decision making |
| url | http://hdl.handle.net/10835/7368 |
| work_keys_str_mv | AT ralcantudjosecarlos intertemporalchoiceoffuzzysoftsets AT munoztorrecillasmariajose intertemporalchoiceoffuzzysoftsets |