A generalized α-level decomposition concept for numerical fuzzy calculus

Research output: Contributions to collected editions/worksArticle in conference proceedingsResearchpeer-review

Authors

This paper presents a new concept for the decomposition of fuzzy numbers into a finite number of α-cuts. Instead of subdividing the µ axis in an equidistant way, we suggest to subdivide the x axis equidistantly leading to a more efficient decomposition of the µ axis. Considering the interpolation error as a measure for the loss of information during the decomposition, our concept leads to the minimal information loss of the decomposed fuzzy numbers.
Original languageEnglish
Title of host publicationProceedings of the 16th World Congress of the International Fuzzy Systems Association (IFSA) and 9th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT) 2015
EditorsJose M. Alonso, Marek Reformat, Humberto Bustince
Number of pages4
PublisherAtlantis Press
Publication date10.2015
Pages137-140
ISBN (print)978-1-5108-0807-2
DOIs
Publication statusPublished - 10.2015
Externally publishedYes
EventConference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology - IFSA-EUSFLAT 2015 - Gijón, Asturias, Spain
Duration: 30.06.201503.07.2015
https://www.e3sensory.eu/ifsa-eusflat-2015/

Bibliographical note

© 2015, the Authors. Published by Atlantis Press.

    Research areas

  • Engineering - Decomposition of fuzzy numbers, α-cuts, numerical fuzzy calculus