Abstract System of fuzzy linear equations is very important in many applications, especially in control systems, financial data analysis. Ordinary methods, Cramer’s Rule, Simple Row operations, failed to solve system. We have tested both methods on triangular fuzzy numbers; and their corresponding α–cut. Here we give reason of the failure of each method and a new proposed method to solve such system. Finally we wrote a Mathematica® program to solve system of fuzzy linear system. We have considered the case of triangular fuzzy numbers T.F.N. Similar reasoning may be used for any other form of membership function.
Gorgi, A., & El Hamouly, H. (2006). Solving System of Fuzzy Linear Equations. The International Conference on Mathematics and Engineering Physics, 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)), 1-11. doi: 10.21608/icmep.2006.29905
MLA
Amgad M. F. Gorgi; Hassan M. El Hamouly. "Solving System of Fuzzy Linear Equations", The International Conference on Mathematics and Engineering Physics, 3, International Conference on Engineering Mathematics and Physics (ICMEP-3), 2006, 1-11. doi: 10.21608/icmep.2006.29905
HARVARD
Gorgi, A., El Hamouly, H. (2006). 'Solving System of Fuzzy Linear Equations', The International Conference on Mathematics and Engineering Physics, 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)), pp. 1-11. doi: 10.21608/icmep.2006.29905
VANCOUVER
Gorgi, A., El Hamouly, H. Solving System of Fuzzy Linear Equations. The International Conference on Mathematics and Engineering Physics, 2006; 3(International Conference on Engineering Mathematics and Physics (ICMEP-3)): 1-11. doi: 10.21608/icmep.2006.29905
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