Try it :
you create a method in java class just like showVisibleRadio
and check condition .
<window>
<radio selected="@bind(vm.value)" onCheck="@command('showVisibleRadio')"/>
</window>
//java code
@Command
public void showVisibleRadio(){
if (value.isChecked()){
value.setChecked(false);
}
else{
value.setChecked(true);
}
}