SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX
نویسندگان
1 Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
2 Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
3 Department of Applied Mathematics, Faculty of Mathematical Science, University of Tabriz, Tabriz-Iran
doi
10.22111/ijfs.2008.340چکیده
This paper analyzes a linear system of equations when the righthandside is a fuzzy vector and the coefficient matrix is a crisp M-matrix. Thefuzzy linear system (FLS) is converted to the equivalent crisp system withcoefficient matrix of dimension 2n × 2n. However, solving this crisp system isdifficult for large n because of dimensionality problems . It is shown that thisdifficulty may be avoided by computing the inverse of an n×n matrix insteadof Z^{−1}.
