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A METHOD FOR SOLVING FUZZY LINEAR SYSTEMS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 6، دوره 2، شماره 2، دی 2005، صفحه 37-43 اصل مقاله (156.45 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2005.481 | ||
| نویسندگان | ||
Saeid Abbasbandy  1؛ Magid Alavi2
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| 1Department of Mathematics, Imam Khomeini International University, Ghazvin, 34194, Iran | ||
| 2Department Of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, 14778, Iran | ||
| چکیده | ||
| In this paper we present a method for solving fuzzy linear systems by two crisp linear systems. Also necessary and sufficient conditions for existence of solution are given. Some numerical examples illustrate the efficiency of the method. | ||
| کلیدواژه‌ها | ||
| Symmetric fuzzy linear system؛ Fuzzy linear system؛ Nonnegative matrix | ||
| مراجع | ||
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[1] T. Allahviranloo, Numerical methods for fuzzy system of linear equations, Appl. Math. Comput., 155 (2004) 493-502. [2] T. Allahviranloo, Successive over relaxation iterative method for fuzzy system of linear equations, Appl. Math. Comput., 162 (2005) 189-196. [3] T. Allahviranloo, The Adomian decomposition method for fuzzy system of linear equations, Appl. Math. Comput., 163 (2005) 553-563. [4] R. Goetschell and W. Voxman, Elementary calculs, Fuzzy Sets and Systems, 18 (1986) 31-43. [5] M. Ma, M. Friedman and A. Kandel, A new fuzzy arithmetic, Fuzzy Sets and Systems, 108 (1999) 83-90. [6] H. Minc, Nonnegative Matrices, Wiley, New York, 1988. [7] M. Friedman, Ma Ming and A. Kandel, Fuzzy linear systems, Fuzzy Set and Systems, 96(1998) 201-209. [8] G. J. Klir, U. S. Clair and B. Yuan, Fuzzy Set Theory: Foundations and Applications, Prentice-Hall Inc., 1997. | ||
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