I am using the package venndiagram2sets and I was able to use patterns for most cases:
\documentclass[10pt,twoside,openright]{memoir}
\usepackage[latin1]{inputenc}
\usepackage[english]{babel}
\usepackage[protrusion=true,expansion=true]{microtype}
\usepackage{tikz}
\usetikzlibrary{patterns}
\usepackage{venndiagram}
\begin{document}
\begin{venndiagram2sets}
[tikzoptions={scale=.7, thick},labelNotAB={},labelA={},labelB={},shade={}, showframe=False]
\begin{scope}[every path/.append style={pattern=north east lines}]
\fillA
\end{scope}
\begin{scope}[every path/.append style={pattern=north west lines}]
\fillB
\end{scope}
\draw (0,2.7) node {{A}};
\draw (5,2.7) node {{B}};
\draw (2.5,0) node {{AB}};
\end{venndiagram2sets}
\begin{venndiagram2sets}
[tikzoptions={scale=.7, thick},labelNotAB={},labelA={},labelB={},shade={}, showframe=False]
\begin{scope}[every path/.append style={pattern=north east lines}]
\fillANotB
\end{scope}
\draw (0,2.7) node {{A}};
\draw (5,2.7) node {{B}};
\draw (2.5,0) node {{AB}};
\end{venndiagram2sets}
\begin{venndiagram2sets}
[tikzoptions={scale=.7, thick},labelNotAB={},labelA={},labelB={},shade={}, showframe=False]
\begin{scope}[every path/.append style={pattern=north west lines}]
\fillBNotA
\end{scope}
\draw (0,2.7) node {{A}};
\draw (5,2.7) node {{B}};
\draw (2.5,0) node {{AB}};
\end{venndiagram2sets}
% \begin{venndiagram2sets}
% [tikzoptions={scale=.7, thick},labelNotAB={},labelA={},labelB={},shade={}, showframe=False]
% \begin{scope}[every path/.append style={pattern=north east lines}]
% \fillACapB
% \end{scope}
% \draw (0,2.7) node {{A}};
% \draw (5,2.7) node {{B}};
% \draw (2.5,0) node {{AB}};
% \end{venndiagram2sets}
\end{document}
But it does not work for the last case:
\begin{venndiagram2sets}
[tikzoptions={scale=.7, thick},labelNotAB={},labelA={},labelB={},shade={}, showframe=False]
\begin{scope}[every path/.append style={pattern=crosshatched}]
\fillACapB
\end{scope}
\draw (2.5,0) node {{AB}};
\end{venndiagram2sets}
Error:
! Package tikz Error: Extra options not allowed for clipping path command..
See the tikz package documentation for explanation.
Type H <return> for immediate help.
...
l.700 \fillACapB
How can I add a crosshatched pattern to the intersection in venndiagram?
