Fuzzy sets. A way to represent ambiguity and subjetivity
Mathemathical modeling seeks to describe in a formal way a phenomenom but we can encounter two inconveniences, namely, the complexity and the uncertainty by vagueness. In order to take vagueness into consideration, the fuzzy set theory formalized by Zadeh in 1965 intends to give a mathematical treat...
- Autores:
-
Niño Quevedo, José Rubén
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2017
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/61871
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/61871
http://bdigital.unal.edu.co/60683/
- Palabra clave:
- 51 Matemáticas / Mathematics
fuzzy sets theory
linguistic variable
fuzzy numbers
teoría de los conjuntos difusos
variable lingüística
números difusos
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Niño Quevedo, José Rubén8cc8ba9c-0354-439e-89d4-5dac4f50fecf3002019-07-02T20:46:44Z2019-07-02T20:46:44Z2017-01-01ISSN: 2357-6529https://repositorio.unal.edu.co/handle/unal/61871http://bdigital.unal.edu.co/60683/Mathemathical modeling seeks to describe in a formal way a phenomenom but we can encounter two inconveniences, namely, the complexity and the uncertainty by vagueness. In order to take vagueness into consideration, the fuzzy set theory formalized by Zadeh in 1965 intends to give a mathematical treatment to the subjective topics. Additionally, it is considered as an important tool for getting a better understanding of some real situations. This is why we are motivated to give in this paper some of the basics notions of this branch of mathematics which has been in a continuous development for the latest fifty years.La modelación matemática busca describir de manera formal un fenómeno pero podemos encontrar dos inconvenientes, a saber, la complejidad y la incertidumbre por "ambigüedad". Para considerar la ambigüedad, la teoría de los conjuntos difusos formalizada por Zadeh en 1965 pretende dar un tratamiento matemático a los temas subjetivos. Adicionalmente, se le considera una herramienta importante para obtener un mejor entendimiento de algunas situaciones reales. Éste en el por qué se motivó a presentar, en este escrito, algunas de las nociones básicas de esta rama de las matemáticas que ha estado en continuo desarrollo durante los últimos cincuenta años.application/pdfspaUniversidad Nacional de Colombia - Sede Bogotá - Facultad de Ciencias - Departamento de Matemáticashttps://revistas.unal.edu.co/index.php/bolma/article/view/66863Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasNiño Quevedo, José Rubén (2017) Fuzzy sets. A way to represent ambiguity and subjetivity. Boletín de Matemáticas, 24 (1). pp. 57-89. ISSN 2357-652951 Matemáticas / Mathematicsfuzzy sets theorylinguistic variablefuzzy numbersteoría de los conjuntos difusosvariable lingüísticanúmeros difusosFuzzy sets. A way to represent ambiguity and subjetivityArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTORIGINAL66863-342933-1-SM.pdfapplication/pdf673573https://repositorio.unal.edu.co/bitstream/unal/61871/1/66863-342933-1-SM.pdf7cfb3992dae48cf68c2f88ef3a4534f5MD51THUMBNAIL66863-342933-1-SM.pdf.jpg66863-342933-1-SM.pdf.jpgGenerated Thumbnailimage/jpeg5655https://repositorio.unal.edu.co/bitstream/unal/61871/2/66863-342933-1-SM.pdf.jpg01776e4c8b79246063075b1c49922281MD52unal/61871oai:repositorio.unal.edu.co:unal/618712024-04-20 23:26:13.182Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| title |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| spellingShingle |
Fuzzy sets. A way to represent ambiguity and subjetivity 51 Matemáticas / Mathematics fuzzy sets theory linguistic variable fuzzy numbers teoría de los conjuntos difusos variable lingüística números difusos |
| title_short |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| title_full |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| title_fullStr |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| title_full_unstemmed |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| title_sort |
Fuzzy sets. A way to represent ambiguity and subjetivity |
| dc.creator.fl_str_mv |
Niño Quevedo, José Rubén |
| dc.contributor.author.spa.fl_str_mv |
Niño Quevedo, José Rubén |
| dc.subject.ddc.spa.fl_str_mv |
51 Matemáticas / Mathematics |
| topic |
51 Matemáticas / Mathematics fuzzy sets theory linguistic variable fuzzy numbers teoría de los conjuntos difusos variable lingüística números difusos |
| dc.subject.proposal.spa.fl_str_mv |
fuzzy sets theory linguistic variable fuzzy numbers teoría de los conjuntos difusos variable lingüística números difusos |
| description |
Mathemathical modeling seeks to describe in a formal way a phenomenom but we can encounter two inconveniences, namely, the complexity and the uncertainty by vagueness. In order to take vagueness into consideration, the fuzzy set theory formalized by Zadeh in 1965 intends to give a mathematical treatment to the subjective topics. Additionally, it is considered as an important tool for getting a better understanding of some real situations. This is why we are motivated to give in this paper some of the basics notions of this branch of mathematics which has been in a continuous development for the latest fifty years. |
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2017 |
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2017-01-01 |
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2019-07-02T20:46:44Z |
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2019-07-02T20:46:44Z |
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Artículo de revista |
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http://purl.org/coar/resource_type/c_2df8fbb1 |
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info:eu-repo/semantics/article |
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ISSN: 2357-6529 |
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https://repositorio.unal.edu.co/handle/unal/61871 |
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ISSN: 2357-6529 |
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https://repositorio.unal.edu.co/handle/unal/61871 http://bdigital.unal.edu.co/60683/ |
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spa |
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https://revistas.unal.edu.co/index.php/bolma/article/view/66863 |
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Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas Boletín de Matemáticas |
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Niño Quevedo, José Rubén (2017) Fuzzy sets. A way to represent ambiguity and subjetivity. Boletín de Matemáticas, 24 (1). pp. 57-89. ISSN 2357-6529 |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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info:eu-repo/semantics/openAccess |
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