A generalized α-level decomposition concept for numerical fuzzy calculus
Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › begutachtet
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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. Hrsg. / Jose M. Alonso; Marek Reformat; Humberto Bustince. Atlantis Press, 2015. S. 137-140 (Advances in Intelligent Systems Research; Band 89).
Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › begutachtet
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TY - CHAP
T1 - A generalized α-level decomposition concept for numerical fuzzy calculus
AU - Seibel, Arthur
AU - Schlattmann, Josef
N1 - © 2015, the Authors. Published by Atlantis Press.
PY - 2015/10
Y1 - 2015/10
N2 - 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.
AB - 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.
KW - Engineering
KW - Decomposition of fuzzy numbers
KW - α-cuts
KW - numerical fuzzy calculus
UR - https://www.proceedings.com/content/027/027013webtoc.pdf
U2 - 10.2991/ifsa-eusflat-15.2015.12
DO - 10.2991/ifsa-eusflat-15.2015.12
M3 - Article in conference proceedings
SN - 978-1-5108-0807-2
T3 - Advances in Intelligent Systems Research
SP - 137
EP - 140
BT - 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
A2 - Alonso, Jose M.
A2 - Reformat, Marek
A2 - Bustince, Humberto
PB - Atlantis Press
T2 - Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology - IFSA-EUSFLAT 2015
Y2 - 30 June 2015 through 3 July 2015
ER -