Izadikhah, Mohammad, Zikller, Alexander Graham. (1400). Solving Fuzzy Linear System of Equations. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 15(2), 65-74.
Mohammad Izadikhah; Alexander Graham Zikller. "Solving Fuzzy Linear System of Equations". نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 15, 2, 1400, 65-74.
Izadikhah, Mohammad, Zikller, Alexander Graham. (1400). 'Solving Fuzzy Linear System of Equations', نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 15(2), pp. 65-74.
Izadikhah, Mohammad, Zikller, Alexander Graham. Solving Fuzzy Linear System of Equations. نشریه علمی پژوهشی دانشگاه آزاد اسلامی, 1400; 15(2): 65-74.
1Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
2Department of Mathematics, University of Mannheim, Baden-Württemberg, Germany
چکیده
Many real problems may often be reduced to solving a system of linear equations. However, in such real-world problems, the existence of uncertainties, like a fuzzy environment, is inevitable. Thus, the main aim of this paper is to propose a solving approach for a fuzzy linear system of equalities. The presented approach is based on the nearest weighted approximation of fuzzy numbers. Two numerical examples illustrate the capabilities of the proposed approach.
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