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

Research output: Chapter in Book/Inform › Conference contribution

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$$\alpha $$ -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.

Original language	English (US)
Title of host publication	Fuzzy Information Processing 2023
Editors	Kelly Cohen, Nicholas Ernest, Barnabas Bede, Vladik Kreinovich
Publisher	Springer Science and Business Media Deutschland GmbH
Pages	258-267
Number of pages	10
ISBN (Print)	9783031467776
DOIs	https://doi.org/10.1007/978-3-031-46778-3_24
State	Published - 2023
Event	Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23 - Cincinnati, United States Duration: May 31 2023 → Jun 2 2023

Publication series

Name	Lecture Notes in Networks and Systems
Volume	751 LNNS
ISSN (Print)	2367-3370
ISSN (Electronic)	2367-3389

Conference

Conference	Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23
Country/Territory	United States
City	Cincinnati
Period	5/31/23 → 6/2/23

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure

All Science Journal Classification (ASJC) codes

Control and Systems Engineering
Signal Processing
Computer Networks and Communications

Access to Document

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

Cite this

Figueroa-García, J. C., Neruda, R., & Franco, C. (2023). On Truncating Fuzzy Numbers with$$\alpha $$ -Levels. In 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",

publisher = "Springer Science and Business Media Deutschland GmbH",

pages = "258--267",

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

booktitle = "Fuzzy Information Processing 2023",

address = "Germany",

}

Figueroa-García, JC, Neruda, R & Franco, C 2023, On Truncating Fuzzy Numbers with$$\alpha $$ -Levels. in 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, United States, 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).

Research output: Chapter in Book/Inform › Conference contribution

TY - GEN

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AU - Figueroa-García, Juan Carlos

AU - Neruda, Roman

AU - Franco, Carlos

PY - 2023

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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U2 - 10.1007/978-3-031-46778-3_24

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

M3 - Conference contribution

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SN - 9783031467776

T3 - Lecture Notes in Networks and Systems

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EP - 267

BT - Fuzzy Information Processing 2023

A2 - Cohen, Kelly

A2 - Ernest, Nicholas

A2 - Bede, Barnabas

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PB - Springer Science and Business Media Deutschland GmbH

T2 - Annual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23

Y2 - 31 May 2023 through 2 June 2023

ER -

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

Abstract

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