solving fuzzy linear systems by using the schur complement when coefficient matrix is an m-matrix

Authors

m. s. hashemi

m. k. mirnia

s. shahmorad

abstract

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}.

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Journal title:
iranian journal of fuzzy systems

Publisher: university of sistan and baluchestan

ISSN 1735-0654

volume 5

issue 3 2008

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