Omolbanin Bozorg - Department of Mathematics , Yazd University Yazd, Iran
Alireza Fakharzadeh Jahromi - Department of Mathematics, Shiraz University of Technology Shiraz, Iran
Ali Delavar Khalafi - Department of Mathematics , Yazd University Yazd, Iran

According to the clinical practice, in the Intensity modulated radiation therapy (IMRT) procedure some of the parameters are fuzzy. In this paper, the optimal treatment has been shown as a solution of an optimization problem with quadratic objective function, where the prescribed target dose is a trapezoidal fuzzy number. We in [5] solved this problem with prescribed target dose in the form of triangular fuzzy number. Since the solution set is non-convex, the optimal solution has been obtained by relaxation method. Numerical simulationis given in head-and-neck cancer.

Intensity modulated radiation therapy (IMRT), trapezoidal fuzzy number, optimization, Computational Environment for Radiotherapy Research (CERR)