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

Juan Carlos Figueroa-García, Roman Neruda, Carlos Franco

Research output: Chapter in Book/ReportConference contribution


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 languageEnglish (US)
Title of host publicationFuzzy Information Processing 2023
EditorsKelly Cohen, Nicholas Ernest, Barnabas Bede, Vladik Kreinovich
PublisherSpringer Science and Business Media Deutschland GmbH
Number of pages10
ISBN (Print)9783031467776
StatePublished - 2023
EventAnnual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23 - Cincinnati, United States
Duration: May 31 2023Jun 2 2023

Publication series

NameLecture Notes in Networks and Systems
Volume751 LNNS
ISSN (Print)2367-3370
ISSN (Electronic)2367-3389


ConferenceAnnual Conference of the North American Fuzzy Information Processing Society, NAFIPS 23
Country/TerritoryUnited States

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Signal Processing
  • Computer Networks and Communications


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