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Title: New decomposition method for solving dual fully fuzzy linear systems

Authors: Ahmad Jafarian

Addresses: Department of Mathematics, Urmia Branch, Islamic Azad University, Urmia, Iran

Abstract: Various methods are proposed by different authors to solve linear equation for dual fuzzy system. Also, in the dual fully fuzzy linear system (DFFLS) all parameters are considered to be fuzzy numbers. In this manuscript, we have extended symmetric and triangular (ST) decomposition to solve the DFFLS. Since triangular fuzzy numbers is a special case of trapezoidal fuzzy numbers, then on solving the DFFLS with trapezoidal fuzzy numbers is discussed. The ST decomposition method can solve these systems in a smaller computing process. The explicit scheme is given and then the proposed algorithm is illustrated with solving some numerical examples.

Keywords: dual fuzzy systems; linear equations; dual fully fuzzy linear systems; DFFLS; trapezoidal fuzzy numbers; symmetric decomposition; triangular decomposition.

DOI: 10.1504/IJFCM.2016.077883

International Journal of Fuzzy Computation and Modelling, 2016 Vol.2 No.1, pp.76 - 85

Accepted: 24 Jan 2015
Published online: 20 Jul 2016 *

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