On Truncating Fuzzy Numbers with$$\alpha $$ -Levels

Juan Carlos Figueroa-García; Roman Neruda; Carlos Franco

doi:10.1007/978-3-031-46778-3_24

On Truncating Fuzzy Numbers with$$\alpha $$ -Levels

Juan Carlos Figueroa-García
, Roman Neruda
, Carlos Franco

Escuela de Administración

Producción científica: Capítulo en Libro/Informe › Contribución a la conferencia

Resumen

Unbounded fuzzy sets (in particular fuzzy numbers) are popular in different applications, but the implementation of a unbounded support is inconvenient since it is hard to do. This chapter presents a method for truncating a unbounded fuzzy number based on$$\alpha $$ -levels and a method to re-scale it in order to obtain a closed support fuzzy set i.e. bounded. An application to compute a nonlinear equation is presented and the proposed method is tested over different fuzzy sets in order to see its properties.

Idioma original	Inglés estadounidense
Título de la publicación alojada	Fuzzy Information Processing 2023
Editores	Kelly Cohen, Nicholas Ernest, Barnabas Bede, Vladik Kreinovich
Editorial	Springer Science and Business Media Deutschland GmbH
Páginas	258-267
Número de páginas	10
ISBN (versión impresa)	9783031467776
DOI	https://doi.org/10.1007/978-3-031-46778-3_24
Estado	Publicada - 2023
Evento	Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23 - Cincinnati, Estados Unidos Duración: may. 31 2023 → jun. 2 2023

Serie de la publicación

Nombre	Lecture Notes in Networks and Systems
Volumen	751 LNNS
ISSN (versión impresa)	2367-3370
ISSN (versión digital)	2367-3389

Conferencia

Conferencia	Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23
País/Territorio	Estados Unidos
Ciudad	Cincinnati
Período	5/31/23 → 6/2/23

ODS de las Naciones Unidas

Este resultado contribuye a los siguientes Objetivos de Desarrollo Sostenible

ODS 9: Industria, innovación e infraestructura

Áreas temáticas de ASJC Scopus

Ingeniería de control y sistemas
Procesamiento de senales
Redes de ordenadores y comunicaciones

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10.1007/978-3-031-46778-3_24

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Figueroa-García, J. C., Neruda, R., & Franco, C. (2023). On Truncating Fuzzy Numbers with$$\alpha $$ -Levels. En K. Cohen, N. Ernest, B. Bede, & V. Kreinovich (Eds.), Fuzzy Information Processing 2023 (pp. 258-267). (Lecture Notes in Networks and Systems; Vol. 751 LNNS). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-031-46778-3_24

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title = "On Truncating Fuzzy Numbers with\$\$\textbackslash{}alpha \$\$ -Levels",

abstract = "Unbounded fuzzy sets (in particular fuzzy numbers) are popular in different applications, but the implementation of a unbounded support is inconvenient since it is hard to do. This chapter presents a method for truncating a unbounded fuzzy number based on\$\$\textbackslash{}alpha \$\$ -levels and a method to re-scale it in order to obtain a closed support fuzzy set i.e. bounded. An application to compute a nonlinear equation is presented and the proposed method is tested over different fuzzy sets in order to see its properties.",

author = "Figueroa-Garc{\'i}a, \{Juan Carlos\} and Roman Neruda and Carlos Franco",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.; Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23 ; Conference date: 31-05-2023 Through 02-06-2023",

year = "2023",

doi = "10.1007/978-3-031-46778-3\_24",

language = "English (US)",

isbn = "9783031467776",

series = "Lecture Notes in Networks and Systems",

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editor = "Kelly Cohen and Nicholas Ernest and Barnabas Bede and Vladik Kreinovich",

booktitle = "Fuzzy Information Processing 2023",

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Figueroa-García, JC, Neruda, R & Franco, C 2023, On Truncating Fuzzy Numbers with$$\alpha $$ -Levels. En K Cohen, N Ernest, B Bede & V Kreinovich (eds.), Fuzzy Information Processing 2023. Lecture Notes in Networks and Systems, vol. 751 LNNS, Springer Science and Business Media Deutschland GmbH, pp. 258-267, Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23, Cincinnati, Estados Unidos, 5/31/23. https://doi.org/10.1007/978-3-031-46778-3_24

On Truncating Fuzzy Numbers with$$\alpha $$ -Levels. / Figueroa-García, Juan Carlos; Neruda, Roman; Franco, Carlos.
Fuzzy Information Processing 2023. ed. / Kelly Cohen; Nicholas Ernest; Barnabas Bede; Vladik Kreinovich. Springer Science and Business Media Deutschland GmbH, 2023. p. 258-267 (Lecture Notes in Networks and Systems; Vol. 751 LNNS).

Producción científica: Capítulo en Libro/Informe › Contribución a la conferencia

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Y1 - 2023

N2 - Unbounded fuzzy sets (in particular fuzzy numbers) are popular in different applications, but the implementation of a unbounded support is inconvenient since it is hard to do. This chapter presents a method for truncating a unbounded fuzzy number based on$$\alpha $$ -levels and a method to re-scale it in order to obtain a closed support fuzzy set i.e. bounded. An application to compute a nonlinear equation is presented and the proposed method is tested over different fuzzy sets in order to see its properties.

AB - Unbounded fuzzy sets (in particular fuzzy numbers) are popular in different applications, but the implementation of a unbounded support is inconvenient since it is hard to do. This chapter presents a method for truncating a unbounded fuzzy number based on$$\alpha $$ -levels and a method to re-scale it in order to obtain a closed support fuzzy set i.e. bounded. An application to compute a nonlinear equation is presented and the proposed method is tested over different fuzzy sets in order to see its properties.

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AN - SCOPUS:85178607906

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A2 - Ernest, Nicholas

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ER -

On Truncating Fuzzy Numbers with$$\alpha $$ -Levels

Resumen

Serie de la publicación

Conferencia

ODS de las Naciones Unidas

Áreas temáticas de ASJC Scopus

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