O Sedaghatfar - Department of Mathematics, Yadegar-e-Imam Khomeini (RAH) Shahre Rey Branch, Islamic Azad University, Tehran, Iran.
M. R. Balooch Shahryari - Department of Mathematics, Kerman Branch, Islamic Azad University, Kerman, Iran

In this paper, the fundamental results associated with support points for n-dimensional fuzzy numbers in r-cut are developed. Also Bishop-Phelps theorem and the representation of convex and closed sets of r-cut in Rn-space as the desired participation of The half-closed spaces are rep- resented. Finally, the relationship between the support function and the support points of interest for n-dimensional fuzzy numbers is studied. Keywords: n-dimensional fuzzy numbers; Support points; Support func- tions.

n-dimensional fuzzy numbers; Support points; Support func- tions.