A generalized α-level decomposition concept for numerical fuzzy calculus
Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-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 language | English |
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| Title of host publication | Proceedings 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 |
| Editors | Jose M. Alonso, Marek Reformat, Humberto Bustince |
| Number of pages | 4 |
| Publisher | Atlantis Press |
| Publication date | 10.2015 |
| Pages | 137-140 |
| ISBN (print) | 978-1-5108-0807-2 |
| DOIs | |
| Publication status | Published - 10.2015 |
| Externally published | Yes |
| Event | Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology - IFSA-EUSFLAT 2015 - Gijón, Asturias, Spain Duration: 30.06.2015 → 03.07.2015 https://www.e3sensory.eu/ifsa-eusflat-2015/ |
Bibliographical note
© 2015, the Authors. Published by Atlantis Press.
- Engineering - Decomposition of fuzzy numbers, α-cuts, numerical fuzzy calculus