Title of article :
Solving Fuzzy Linear System of Equations
Author/Authors :
Izadikhah, Mohammad Department of Mathematics - College of Science - Islamic Azad University Arak Branch, Arak, Iran , Graham Zikller, Alexander Department of Mathematics - University of Mannheim, Baden-Württemberg, Germany
Abstract :
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.
Keywords :
Fuzzy linear system , Fuzzy data , Nearest approximation
Journal title :
Theory of Approximation and Applications