A generalized α-level decomposition concept for numerical fuzzy calculus

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/).

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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  -