Journal of Mathematics and Computer Science(JMCS) 2008-949XJournal of Mathematics and Computer ScienceJMCS 2008-949XInternational Scientific Research PublicationsJohor, Malaysiainfo@isr-publications.comisr-publications.comisr-publications.com/jmcs10.22436/jmcs.03.01.06Linear System of Equations with Trapezoidal Fuzzy NumbersNasseriS. H.
Department of Mathematics, Mazandaran University, Babolsar, Iran
GholamiM.
Department of Mathematics, University of Tarbiat Moallem, Sabzevar, Iran
20072011201131717971-79https://isr-publications.com/jmcs/167/download-linear-system-of-equations-with-trapezoidal-fuzzy-numbershttps://isr-publications.com/jmcs/articles-167-linear-system-of-equations-with-trapezoidal-fuzzy-numbers

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.

15B1526E50Fuzzy linear systemEmbedding approachTriangular and trapezoidal fuzzy numbersTrapezoidal fuzzy linear system.
S.Abbasbandy M. AlaviA Method for Solving Fuzzy Linear SystemsIranian Journal of Fuzzy Systems200523744T.AllahviranlooSuccessive over relaxation iterative method for fuzzy system of linear equation10.1016/j.amc.2003.12.085Applied Mathematics and Computation2005162189196T. AllahviranlooThe adomian decomposition method for fuzzy system of linear equations10.1016/j.amc.2004.02.020Applied Mathematics and Computation2005163553563J. J.Buckley Y.QuSolving systems of linear fuzzy equations10.1016/0165-0114(91)90019-MFuzzy Sets and Systems1991433343M.Dehghan B.Hashemi M.GhateeComputational methods for solving fully fuzzy linear systems10.1016/j.amc.2005.11.124Applied Mathematics and Computation2006179328343M.Friedman M.Ming A.KandelFuzzy linear systems10.1016/S0165-0114(96)00270-9Fuzzy Sets and Systems199896201209S. H.NasseriSolving fuzzy linear system of equations by use of the matrix decompositionInternational Journal of Applied Mathematics200821435445