Iterative solution of fuzzy linear systems

Applied Mathematics and Computation

Volumn 175, Issue 1, 2006, Pages 645-674

  Dehghan, Mehdi ^a   Hashemi, Behnam ^a  

^a AMIRKABIR UNIVERSITY OF TECHNOLOGY   (Iran)

Author keywords

Accelerated overrelaxation (AOR); Fuzzy linear systems (FLS); Gaus Seidel (GS); Iterative methods; Jacobi; Nonnegative matrix; Rate of convergence; Successive overrelaxation (SOR) method; Symmetric SOR (SSOR); Unsymmetric SOR (USSOR)

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; EXTRAPOLATION; ITERATIVE METHODS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

ACCELERATED OVERRELAXATION (AOR); EXTRAPOLATED RICHARDSON; FUZZY LINEAR SYSTEMS; JACOBI; LARGE SPARSE SYSTEMS; NONNEGATIVE MATRIX; RATE OF CONVERGENCE; SYMMETRIC SOR (SSOR; UNSYMMETRIC SOR (USSOR);

FUZZY SETS;

EID: 33644883951     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.07.033     Document Type: Article

References (21)

1. T. Allahviranloo Numerical methods for fuzzy system of linear equations Appl. Math. Comput. 155 2004 493 502
2. T. Allahviranloo Successive overrelaxation iterative method for fuzzy system of linear equations Appl. Math. Comput. 162 2005 189 196
3. G. Avdelas, and A. Hadjidimos Optimum accelerated overrelaxation method in a special case Math. Comput. 36 1981 183 187
4. S.L. Chang, and L.A. Zadeh On fuzzy mapping and control IEEE Trans., Syst. Man Cyb. 2 1972 30 34
5. B.N. Datta Numerical Linear Algebra and Applications 1995 Brooks/Cole Pub. California
6. R. DeMarr Nonnegative matrices with nonnegative inverses Proc. Amer. Math. Soc. 1972 307 308
7. D.J. Evans The extrapolated modified Aitken iteartion method for solving elliptic difference equations Comput. J. 6 1963 193 201
8. M. Friedman, M. Ming, and A. Kandel Fuzzy linear systems FSS 96 1998 201 209
9. W. Hackbusch Iterative Solution of Large Sparse Systems of Equations 1994 Springer-Verlag Inc. New York
10. A. Hadjidimos Accelerated overrelaxation method Math. Comput. 32 1978 149 157
11. L.A. Hageman, and D.M. Young Applied Iterative Methods 1981 Academic Press New York
12. A. Kandel, M. Friedamn, and M. Ming Fuzzy linear systems and their solution IEEE 1996 336 338
13. D. Kincaid, and W. Cheney Numerical Analysis Mathematics of Scientific Computing 1991 Brooks/Cole California
14. M. Ming, A. Kandel, and M. Friedman A new approach for defuzzification FSS 111 2000 351 356
15. M. Madalena Martins On an accelerated overrelaxation iterative method for linear systems with strictly diagonally dominant matrix Math. Comput. 152 1980 1269 1273
16. N.M. Missirils, and D.J. Evans On the convergence of some generalized preconditioned iterative methods SIAM J. Numer. Anal. 18 1981 591 596
17. D.M. Young Iterative Solution of Large Linear Systems 1971 Academic Press New York
18. D.M. Young, and R.T. Gregory A Survey of Numerical Mathematics vol. 2 1973 Dover Publications New York
19. L.A. Zadeh Fuzzy sets Inform. Control 8 1965 338 353
20. Q.L. Zhang, Q.M. Zhu, A. Longden, T. Davis, Fuzzy analogy of linear systems, Program of the Second CEMS Research Student Conference, University of the West of England, 15 October 2003. Available from: 〈http://www.csm.uwe. ac.uk/xzhang/CRES2003/papers/Leo.pdf〉.
21. H.-J. Zimmermann Fuzzy Set Theory and its Applications 1996 Kluwer Dordrecht