Suppress the 'dot' after section numbers when using \ref{[label]}

Question

I want to have sections numbers as I., II., and subsections as A., B., etc:

I.

II. A. B.

But when I refer to those sections/subsections with \ref{[label]} in the text, I don't want the dot after the section number. I want: 'In s.I', and not 'In section I.' .

How do I do this? Thank you.

Here is a MWE

\documentclass[a4,twoside,british,12pt]{article}
\usepackage{titlesec}
\titleformat{\section}{\normalfont}{\thesection}{1em}{}
\titleformat{\subsection}{\large\itshape}{\thesubsection}{1em}{}
\renewcommand{\thesection}{\Roman{section}.}
\renewcommand{\thesubsection}{\Alph{subsection}.}