DocumentCode
1979293
Title
An efficient implementation of the transformation method of fuzzy arithmetic
Author
Klimke, Andreas
Author_Institution
Inst. of Appl. Anal. & Numerical Simulation, Stuttgart Univ., Germany
fYear
2003
fDate
24-26 July 2003
Firstpage
468
Lastpage
473
Abstract
The transformation method has been proposed for the simulation and analysis of systems with uncertain parameters. Here, several aspects of an efficient implementation are presented: fast processing of discretized fuzzy numbers through multi-dimensional arrays, elimination of recurring permutations, automatic decomposition of models, treatment of single occurrences of variables through interval arithmetic, and a monotonicity test based on automatic differentiation.
Keywords
arithmetic; fuzzy set theory; mathematics computing; automatic differentiation; discretized fuzzy numbers; fuzzy arithmetic; interval arithmetic; mathematics computing; monotonicity test; multidimensional arrays; transformation method; uncertain parameters; Algorithm design and analysis; Analytical models; Arithmetic; Automatic testing; Numerical simulation;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Information Processing Society, 2003. NAFIPS 2003. 22nd International Conference of the North American
Print_ISBN
0-7803-7918-7
Type
conf
DOI
10.1109/NAFIPS.2003.1226830
Filename
1226830
Link To Document