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

  • L. Abdollahzadeh Ramhormozi

    Islamic Azad University, Isfahan(khorasgan)Branch

Received date: February 13, 2015

Accepted date: March 9, 2015

Published date: April 13, 2015

DOI:

https://doi.org/10.14419/ijamr.v4i2.4351

Keywords:

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

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    [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

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How to Cite

Kiasari, S. M. K., & Ramhormozi, L. A. (2015). On the solution of fuzzy dual linear systems of equation. International Journal of Applied Mathematical Research, 4(2), 325-331. https://doi.org/10.14419/ijamr.v4i2.4351

Received date: February 13, 2015

Accepted date: March 9, 2015

Published date: April 13, 2015