Title :
Exact solving of the fuzzy equation: A.X2 + B.X = C
Author :
Boukezzoula, Reda ; Marteau, Stephane
Author_Institution :
LISTIC, Univ. of Savoie, Annecy
Abstract :
The objective of this paper is to revisit the solving of the second order fuzzy interval equation A.X2 + B.X = C according to the alpha-cut representation. The proposed general solution is expressed in an analytical compact form which is directly used for deriving the condition of the solution existence. The validity of the proposed method is illustrated by a simulation example
Keywords :
fuzzy set theory; number theory; alpha-cut representation; interval number; real numbers; second order fuzzy interval equation; solution existence; Arithmetic; Computational complexity; Computer applications; Equations; Fuzzy set theory; Fuzzy systems; Kernel; Nonlinear systems; Uncertainty;
Conference_Titel :
Fuzzy Systems, 2005. FUZZ '05. The 14th IEEE International Conference on
Conference_Location :
Reno, NV
Print_ISBN :
0-7803-9159-4
DOI :
10.1109/FUZZY.2005.1452550
