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 -