Abstract

In this paper, we study the solution of n × n fuzzy linear system Ãx = ̃b where A is a singular crisp matrix, ̃x and ̃b are vectors of fuzzy numbers. We first convert the fuzzy linear system Ãx = ̃b to 2n × 2n crisp linear system SX = Y. where S is a singular matrix. We then apply the Drazin inverse to solve the 2n × 2n crisp linear system SX = Y. To investigate the effect of Drazin inverse, we apply the QR decomposition method. Several numerical examples are discussed.

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