Affiliations: [a] Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran | [b] Department of Mathematics, Science and Research Branch, Islamic Azad University, Ghaemshahr, Iran
Correspondence:
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Corresponding author. T. Allahviranloo, Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran. Tel.: +98 912 3508816; Fax: +98 214 4804172; E-mail: [email protected].
Abstract: In this paper, the fuzzy dual matrix system as Ax˜+B˜=Cx˜+D˜ in which A, C are n × n crisp matrices and B˜, D˜ 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 Ax˜+B˜=Cx˜+D˜ and (A-C)x˜=(D˜⊖hB˜). Finally, some examples are solved to illustrate the proposed method.
Keywords: Fuzzy number, optimization, fuzzy dual matrix system, linear programming
