Some special general aggregation operators are given with respect to different ordering relations on the set of all fuzzy subsets of a universe $X,\mathcal{F(X)}$. The proof that pointwise extensions of aggregation operators are general aggregation operators with respect to the ordering fuzzy subset $(\subseteq_{\mathcal F})$ is given. Also, we have proved that min-extensions of aggregation operators are general aggregation operators. When pointwise extensions of aggregation are viewed with respect to the ordering $(\subseteq_{\mathcal F})$ we conclude that they are not necessarily general aggregation operators.