Have a personal or library account? Click to login

The nearest symmetric fuzzy solution for a symmetric fuzzy linear system

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică
Volume 20 (2012): Issue 1 (May 2012)
By:
Open Access
|May 2013

References

  1. [1] S. Abbasbandy, R. Ezzati, A. Jafarian, LU decomposition method for solving fuzzy system of linear equations, Applied Mathematics and Computation, 172(2006), 633-643.10.1016/j.amc.2005.02.018
    Search in Google Scholar
  2. [2] T. Allahviranloo, Numerical methods for fuzzy system of linear equations, Applied Mathematics and Computation, 155(2004), 493-502.10.1016/S0096-3003(03)00793-8
    Search in Google Scholar
  3. [3] T. Allahviranloo, M. Afshar Kermani, Solution of a fuzzy system of linear equation, Applied Mathematics and Computation, 175(2006), 519-531.10.1016/j.amc.2005.07.048
    Search in Google Scholar
  4. [4] T. Allahviranloo, M.A. Firozja, Ranking of fuzzy numbers by a new metric, Soft Computing, 14(2009), 773-782.10.1007/s00500-009-0464-7
    Search in Google Scholar
  5. [5] T. Allahviranloo, M. Ghanbari, Solving Fuzzy Linear Systems by Homotopy Perturbation Method, International Journal of Computational Cognition, 8(2)(2010), 24-30.
    Search in Google Scholar
  6. [6] T. Allahviranloo, M. Ghanbari, A new approach to obtain algebraic solution of interval linear systems, Soft Computing, 16(2012), 121-133.10.1007/s00500-011-0739-7
    Search in Google Scholar
  7. [7] T. Allahviranloo, M. Ghanbari, On the algebraic solution of fuzzy linearsystems based on interval theory, Applied Mathematical Modelling, (2012), DOI.org/10.1016/j.apm.2012.01.002.
    Search in Google Scholar
  8. [8] T. Allahviranloo, M. Ghanbari, A.A. Hosseinzadeh, E. Haghi, R. Nuraei, Anote on \Fuzzy linear systems",Fuzzy Sets and Systems, 177 (1)(2011), 87-92.10.1016/j.fss.2011.02.010
    Search in Google Scholar
  9. [9] T. Allahviranloo, S. Khezerloo, M.A.Firozja, Fuzzy Regression on Fuzzy Databy New Metric Distance, Southeast Asian Bulletin of mathematics, 34(2010), 215-230.
    Search in Google Scholar
  10. [10] T. Allahviranloo, S. Salahshour, Fuzzy symmetric solution of fuzzy linear systems, Journal of Computational and Applied Mathematics, 235(16) (2011), 4545-4553.10.1016/j.cam.2010.02.042
    Search in Google Scholar
  11. [11] T. Allahviranloo, S. Salahshour, M. Khezerloo, Maximal- and minimal symmetric solutions of fully fuzzy linear systems, Journal of Computational and Applied Mathematics, 235(16) (2011), 4652-4662.10.1016/j.cam.2010.05.009
    Search in Google Scholar
  12. [12] M. Dehghan, B. Hashemi, Iterative solution of fuzzy linear systems, Applied Mathematics and Computation, 175(2006), 645-674.10.1016/j.amc.2005.07.033
    Search in Google Scholar
  13. [13] M. Dehghan, B. Hashemi, M. Ghatee, Computational methods for solving fullyfuzzy linear systems, Applied Mathematics and Computation, 179(2006), 328-343.10.1016/j.amc.2005.11.124
    Search in Google Scholar
  14. [14] P. Diamond, Fuzzy least squares, Information Sciences, 46(1988), 141-149.10.1016/0020-0255(88)90047-3
    Search in Google Scholar
  15. [15] R. Ezzati, Solving fuzzy linear systems, Soft Computing, 15(2010), 193-197.10.1007/s00500-009-0537-7
    Search in Google Scholar
  16. [16] M. Friedman, M. Ming and A. Kandel, Fuzzy linear systems, Fuzzy Sets and Systems, 96(1998), 209-261.10.1016/S0165-0114(96)00270-9
    Search in Google Scholar
  17. [17] R. Ghanbari, N. Mahdavi-Amiri, New solutions of L-R fuzzy linear systemsusing ranking functions and ABS algorithms, Applied Mathematical Modelling, 34(11) (2010), 3363-3375.10.1016/j.apm.2010.02.026
    Search in Google Scholar
  18. [18] R. Goetschel, W. Voxman, Elementary calculus, Fuzzy Sets and Systems, 18(1986), 31-43. 10.1016/0165-0114(86)90026-6
    Search in Google Scholar
DOI: https://doi.org/10.2478/v10309-012-0011-x | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Journal RSS Feed
Language: English
Page range: 151 - 172
Published on: May 17, 2013
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year
Keywords:
Symmetric L - L fuzzy number,
Symmetric L - L fuzzy linear system,
Nonlinear programming problem,
Modified Euclidean distance
Related subjects:
Mathematics,
General mathematics

© 2013 T. Allahviranloo, E. Haghi, M. Ghanbari, published by Ovidius University of Constanta
This work is licensed under the Creative Commons License.

Previous articleVolume 20 (2012): Issue 1 (May 2012)Next article