# On the solution of fuzzy dual linear systems of equation

• ## Authors

• S. M. Khorasani Kiasari Department of methematics, science faculty, yadegar-e-emam khomeini, Isalmic azad university, tehran, Iran
2015-04-13
• Fuzzy triangular number, Linear programming, Fuzzy convex combination, Fuzzy dual linear systems.
• ## Abstract

In this paper the exact, multiple and approximation solutions of Dual fuzzy linear systems of equations(DFLSE) with triangular variable are investigated based on a 1-level expansion. To this end, 1-level of DFLSE are solved for calculating the cores of fuzzy solution and then its spreads are obtained by solving an optimization problem with a special objective function. Finally, the existence of solution of DFLSE is proved in details and some numerical examples are solved to illustrate the accuracy and capability of the method

• ## References

1. [1] Ming Ma, M. Friedman, A. Kandel, Duality in fuzzy linear systems, Fuzzy Sets and Systems 109 (2000) 55-58.

[2] Zeng-feng Tian, Xian-bin Wu, Iterative Method for Dual Fuzzy Linear Systems, Fuzzy Info. and Engineering, ASC 54, (2009)pp. 297â€“304.

[3] T. Allahviranloo , F. Hosseinzadeh Lotfi, M. Khorasani Kiasari, M. Khezerloo, On the fuzzy solution of LR fuzzy linear systems, (2012)http://dx.doi.org/10.1016/j.apm.2012.03.037

[4] S. Abbasbandy, M.Otadi, M.Mosleh, Minimal solution of general dual fuzzy linear systems, Chaos, Solutions and Fractals 37(2008)1113-1124

[5] T. Allaviranloo, Numerical methods for fuzzy system of linear eqautions, Applied Mathematics and Computation 155(2004) 493-502

[6] T. Allaviranloo, The Adomian decomposition method for fuzzy system of linear equation, Applied Mathematics and Computation 163(2005) 553-563.

[7] T. Allaviranloo, Numerical methods for fuzzy system of linear eqautions, Applied Mathematics and Computation 162(2005) 189-196

[8] Didier Dubois, Henri Prade, Fuzzy set and systems Theory and Applications, Academic press, INC.1980.