\documentclass{article}
\usepackage{amssymb}
\usepackage{bbm}
\usepackage{dsfont}
%\usepackage{bbold}%加载bbold包会改变\mathbb，故改为：
\DeclareMathAlphabet{\bbd}{U}{bbold}{m}{n}

\newcommand\test[1]{%
$$#1{ABCDEFGHIJKLMNOPQRSTUVWXYZ}$$
$$#1{abcdefghijklmnopqrstuvwxyz}$$
$$#1{1234567890}$$}

\begin{document}
amssymb:\test\mathbb

bbm(not vector):\test\mathbbm

dsfont:\test\mathds

bbold:\test\bbd
\end{document} 