DocumentCode
3453464
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
fYear
1992
fDate
8-12 Mar 1992
Firstpage
1017
Lastpage
1024
Abstract
The authors discuss different types of solutions of fuzzy linear equations with real coefficients A ν=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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location
San Diego, CA
Print_ISBN
0-7803-0236-2
Type
conf
DOI
10.1109/FUZZY.1992.258794
Filename
258794
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