S. H. Nasseri - Department of Mathematics, Mazandaran University, Babolsar, Iran M. Gholami - Department of Mathematics, University of Tarbiat Moallem, Sabzevar, Iran
A general fuzzy linear system of equations is investigated using embedding approach. In the literature of fuzzy systems two types of linear systems are more important: 1) Fuzzy Linear Systems, 2) Fully Fuzzy Linear Systems. In both class of these systems usually the authors considered triangular type of fuzzy numbers. In this paper, we introduce a linear system of equations with trapezoidal fuzzy numbers as an extension of the fuzzy linear systems which was first introduced by Friedman et al. . Conditions for the existence of a trapezoidal fuzzy solution to n×n linear system are derived and a numerical procedure for calculating the solution is illustrated with some examples.
S. H. Nasseri, M. Gholami, Linear System of Equations with Trapezoidal Fuzzy Numbers, Journal of Mathematics and Computer Science, 3 (2011), no. 1, 71--79
Nasseri S. H., Gholami M., Linear System of Equations with Trapezoidal Fuzzy Numbers. J Math Comput SCI-JM. (2011); 3(1):71--79
Nasseri, S. H., Gholami, M.. "Linear System of Equations with Trapezoidal Fuzzy Numbers." Journal of Mathematics and Computer Science, 3, no. 1 (2011): 71--79