Open Access

## S. D. Sathaananthan, A. Vadivel, S. Tamilselvan and G. Saravanakumar

#### Full Text

We introduce and investigate some new class of mappings called double fuzzy $\mathcal{Z}$-open map and double fuzzy $\mathcal{Z}$-closed map in double fuzzy topological spaces. Also, some of their fundamental properties are studied. Moreover, we investigate the relationships between some double fuzzy open and their respective closed mappings.

Keywords:
$DF \mathcal{Z}O$, $DF \delta sO$, $DFpO$, $DFsO$ and $DFbO$.