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SOLVING FUZZY LINEAR SYSTEMS BY USING THE SCHUR COMPLEMENT WHEN COEFFICIENT MATRIX IS AN M-MATRIX

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This paper analyzes a linear system of equati ons when th e righthand side is a fuzzy vector and th e coe fficient matrix is a crisp M-matrix. The fuzzy linear system (FLS) is converted to the equivalent crisp system with coeffic ient matrix of dimension 2n x 2n . However, solving this crisp sys tem is d ifficult for large n be cause of dimensionality problems . It is shown that th is d ifficulty may be avoided by computing the inver se of an n X n matrix instead of Z- l

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