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

DOI:

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

Published:

2015-04-13

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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