String[] taskName = new String[]{"测试1","测试2","测试3"};

        AlertDialog.Builder builderTask = new AlertDialog.Builder(getView().getSelfActivity(), R.style.TransparentDialog);
        builderTask.setCancelable(false);
        builderTask.setIcon(R.mipmap.logo);
        builderTask.setTitle("请选择使用属性");
        builderTask.setSingleChoiceItems(taskName, check, new DialogInterface.OnClickListener() {
            @Override
            public void onClick(DialogInterface dialog, int which) {

            }
        });
        builderTask.setPositiveButton("确定", new DialogInterface.OnClickListener() {
            @Override
            public void onClick(DialogInterface dialog, int which) {

            }
        });
        builderTask.setNeutralButton("取消", new DialogInterface.OnClickListener() {
            @Override
            public void onClick(DialogInterface dialog, int which) {
                dialog.dismiss();

            }
        });
        AlertDialog alertDialog = builderTask.create();

        Window window = alertDialog.getWindow();

        // 设置对话框的Window属性,不让其遮挡其他控件
        window.setFlags(WindowManager.LayoutParams.FLAG_NOT_FOCUSABLE,
                WindowManager.LayoutParams.FLAG_NOT_FOCUSABLE);

        WindowManager.LayoutParams lp = window.getAttributes();
        //放置于底部
        lp.gravity = Gravity.BOTTOM;
        window.setAttributes(lp);
        alertDialog.show();

在style中增加样式就可以了,可以自行按需修改

 <!--    弹框背景不遮挡-->
    <style name="TransparentDialog" parent="Theme.AppCompat.Dialog.Alert">
        <!--        单选框选中时的颜色-->
        <item name="colorAccent">@color/mainBackDrop</item>
        <!--        全部字体文字,标题加上按钮-->
        <!--        <item name="android:textColor">@color/black</item>-->
        <!--        标题字体颜色-->
        <item name="android:textColorPrimary">@color/black</item>
        <!--        弹框背景色-->
        <item name="android:windowBackground">@color/white</item>

        <!--        单选圈圈颜色-->
        <item name="android:textColorSecondary">@color/colorGray</item>

        <!--        单选字体颜色-->
        <item name="textColorAlertDialogListItem">@color/black</item>


        <!--    背景不遮挡-->
        <item name="android:backgroundDimEnabled">false</item>
    </style>