TY - GEN
T1 - On Truncating Fuzzy Numbers with$$\alpha $$ -Levels
AU - Figueroa-García, Juan Carlos
AU - Neruda, Roman
AU - Franco, Carlos
N1 - Publisher Copyright:
© 2023, The Author(s), under exclusive license to Springer Nature Switzerland AG.
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.
UR - http://www.scopus.com/inward/record.url?scp=85178607906&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85178607906&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-46778-3_24
DO - 10.1007/978-3-031-46778-3_24
M3 - Conference contribution
AN - SCOPUS:85178607906
SN - 9783031467776
T3 - Lecture Notes in Networks and Systems
SP - 258
EP - 267
BT - Fuzzy Information Processing 2023
A2 - Cohen, Kelly
A2 - Ernest, Nicholas
A2 - Bede, Barnabas
A2 - Kreinovich, Vladik
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 -