A generalized α-level decomposition concept for numerical fuzzy calculus
Authors
Arthur Seibel, Josef Schlattmann
Corresponding Author
Arthur Seibel
Available Online June 2015.
- DOI
- 10.2991/ifsa-eusflat-15.2015.12How to use a DOI?
- Keywords
- Decomposition of fuzzy numbers, α-cuts, numerical fuzzy calculus.
- Abstract
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.
- Copyright
- © 2015, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - CONF AU - Arthur Seibel AU - Josef Schlattmann PY - 2015/06 DA - 2015/06 TI - A generalized α-level decomposition concept for numerical fuzzy calculus BT - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology PB - Atlantis Press SP - 66 EP - 69 SN - 1951-6851 UR - https://doi.org/10.2991/ifsa-eusflat-15.2015.12 DO - 10.2991/ifsa-eusflat-15.2015.12 ID - Seibel2015/06 ER -