At the moment a combination of filters isn't implemented. To combine filters you have to create your own algorithm.
I want to present one approach. Therefor I defined the command:
\combinetwobibfilter{Arg 1}{Arg 2}{Arg 3}
with three mandatory arguments. The first argument is the name of the new filter. The second and the third argument are the names of the two predefined filters. Up to now I have no test implemented to check whether the filters are defined or not.
\setcounter{errorcontextlines}{999}
\documentclass{article}
\usepackage[style=authoryear]{biblatex}
\usepackage{biblatex}
\usepackage{filecontents}
\begin{filecontents}{\jobname.bib}
@misc{A01,
author = {Author, A.},
year = {2001},
title = {Alpha},
}
@misc{B02,
author = {Buthor, B.},
year = {2002},
title = {Bravo},
}
@misc{C03,
author = {Cuthor, C.},
year = {2003},
title = {Charlie},
}
\end{filecontents}
\addbibresource{\jobname.bib}
\DeclareBibliographyCategory{cat1}
\DeclareBibliographyCategory{cat2}
\DeclareBibliographyCategory{cat3}
\addtocategory{cat1}{A01}
\addtocategory{cat2}{B02}
\addtocategory{cat3}{C03}
\makeatletter
\let\defbibfilter@orig\defbibfilter
\renewrobustcmd*{\defbibfilter}[2]{%
\csgdef{save@bibfilter#1}{#2}%
\defbibfilter@orig{#1}{#2}}
\newrobustcmd{\combinetwobibfilter}[3]{%
\csedef{temp@bibfilter}{%
\csuse{save@bibfilter#2}
or
\csuse{save@bibfilter#3}
}%
\defbibfilter{#1}{\csuse{temp@bibfilter}}%
}
\makeatother
\defbibfilter{FilterOne}{category=cat1}
\defbibfilter{FilterTwo}{category=cat2}
\defbibfilter{FilterThree}{category=cat3}
\combinetwobibfilter{FilterFour}{FilterTwo}{FilterThree}
\begin{document}
\cite{A01}\quad\cite{B02}\quad\cite{C03}
\printbibliography[title={No filter}]
\printbibliography[title={Filter One},filter=FilterOne]
\printbibliography[title={Filter Two},filter=FilterTwo]
\printbibliography[title={Filter Four=combination of filter two and filter three},filter=FilterFour]
\end{document}
The result is:
