Open Access

## Shiventhira Devi Sathaananthan, A. Vadivel, S. Tamilselvan and G. Saravanakumar

#### Full Text

We introduce and investigate some new class of mappings called double fuzzy generalized $\mathcal{Z}$-open irresolute map, double fuzzy generalized $\mathcal{Z}$-closed irresolute map, double fuzzy generalized $\mathcal{Z}$-continuous map, double fuzzy generalized $\mathcal{Z}$-irresolute map and double fuzzy generalized $\mathcal{Z}$-closure irresolute map in double fuzzy topological spaces. Also, some of their fundamental properties are studied.

Keywords:
$gDF\mathcal{Z}oIrr$, $gDF\mathcal{Z}cIrr$, $gDF\mathcal{Z}Cts$, $gDF\mathcal{Z}Irr$ and $gDF\mathcal{Z}Cl~Irr$.