Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

A generalized α-level decomposition concept for numerical fuzzy calculus

Authors
Arthur Seibel, Josef Schlattmann
Corresponding Author
Arthur Seibel
Available Online June 2015.
DOI
https://doi.org/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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Volume Title
Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.12How to use a DOI?
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  - https://doi.org/10.2991/ifsa-eusflat-15.2015.12
ID  - Seibel2015/06
ER  -