Title :
An efficient implementation of the transformation method of fuzzy arithmetic
Author_Institution :
Inst. of Appl. Anal. & Numerical Simulation, Stuttgart Univ., Germany
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;
Conference_Titel :
Fuzzy Information Processing Society, 2003. NAFIPS 2003. 22nd International Conference of the North American
Print_ISBN :
0-7803-7918-7
DOI :
10.1109/NAFIPS.2003.1226830
