Title :
On the solution of system of fuzzy linear equations with real coefficients
Author :
Xizhao, Wang ; Minghu, Ha
Author_Institution :
Dept. of Math. Hebei Univ., Baading, China
Abstract :
The authors discuss different types of solutions of fuzzy linear equations with real coefficients Aν=u where A is a real matrix and u is a known vector consisting of fuzzy members. They introduce the exact solution, the approximate solution, and the LS-like approximate solution, and they give a sufficient and necessary condition for the existence of the exact and approximate solution of the system. The algorithm for obtaining the LS-like approximate solution which always exists is described. A computation example shows that the method is practicable
Keywords :
fuzzy set theory; matrix algebra; LS-like approximate solution; approximate solution; exact solution; fuzzy linear equations; fuzzy members; necessary condition; real coefficients; real matrix; sufficient condition; Differential equations; Extraterrestrial measurements; Finite element methods; Fuzzy sets; Fuzzy systems; Linear regression; Mathematics; Vectors;
Conference_Titel :
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
0-7803-0236-2
DOI :
10.1109/FUZZY.1992.258794