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In this paper, the fuzzy dual matrix system as à + ... = ... ... + ... in which Ã; ...; ...; ...; ... are LR fuzzy matrices is studied. At first we solve 1-cut system in order to find the core of LR fuzzy solution; then to obtain the spreads of the LR fuzzy solution, we discuss in several cases. The spreads are obtained by using multiplication, quasi norm and minimization problem with a special objective function. We prove some theorems and we suggest conditions in which the fuzzy dual matrix system of à ... + ... = ... ... + ... and the fuzzy matrix system of (à #920;H ...) ... = ( ... ΘH eB) have the same LR fuzzy solution and we discuss about the conditions where LR fuzzy dual matrix system has crisp solution. Finally numerical examples are solved to illustrate the ability, accuracy and capability of the proposed method. [ABSTRACT FROM AUTHOR]

In this paper, the fuzzy dual matrix system as Ax̃ + B̃ = Cx̃ + D̃ in which A, C are n × n crisp matrices and B̃, D̃ are n × n LR fuzzy matrices is studied. To obtain the solution of fuzzy dual system, we initially solve 1-cut and use minimization problem to calculate the spreads. Afterwards, we explain the relationship between the solutions of the systems of Ax̃ + B̃ = Cx̃ + D̃ and (A - C)x̃ = (D̃ ⊖h B̃). Finally, some examples are solved to illustrate the proposed method. [ABSTRACT FROM AUTHOR]