创建一个AlertDialog

import android.support.v7.app.AlertDialog;
import android.support.v7.app.AppCompatActivity;

.....

        int choiceItem = -1;

        AlertDialog.Builder builder = new AlertDialog.Builder(this);
        String[] choices = getResources().getStringArray(R.array.gif_auto_play_type);
        int type = PreferencesUtil.getInstance(this).getAutoPlaySetting();
        builder.setSingleChoiceItems(choices, type, new DialogInterface.OnClickListener() {
            @Override
            public void onClick(DialogInterface dialog, int which) {
                choiceItem = which;
            }
        });

        builder.setPositiveButton("OK", new DialogInterface.OnClickListener() {
            @Override
            public void onClick(DialogInterface dialog, int which) {
                PreferencesUtil.getInstance(SettingActivity.this).saveAutoPlaySetting(choiceItem);
            }
        });
        builder.setNegativeButton("CANCEL", new DialogInterface.OnClickListener() {
            @Override
            public void onClick(DialogInterface dialog, int which) {
                dialog.dismiss();
            }
        });
        
        builder.show();
        

创建Style

<style name="dialog_style" parent="Theme.AppCompat.Light.DialogWhenLarge">
        <item name="colorPrimary">@color/colorPrimary</item>
        <item name="colorPrimaryDark">@color/colorPrimaryDark</item>
        <item name="colorAccent">@color/dialog_color</item>
        <item name="android:listChoiceIndicatorSingle">@drawable/dialog_single_choice</item>
        <item name="android:windowBackground">@android:color/transparent</item>
        <item name="windowNoTitle">true</item>
    </style>

<selector xmlns:android="http://schemas.android.com/apk/res/android">
    <item android:drawable="@drawable/ic_rb_selected" android:state_checked="true" /><!--选中时效果-->
    <item android:drawable="@drawable/ic_rb_unselected" android:state_checked="false" /><!--未选中时效果-->
    <!-- 修改成你自己的图片就可以了 -->
</selector>  

<activity
            android:name=".setting.SettingActivity"
            android:configChanges="orientation|screenSize"
            android:screenOrientation="portrait"
            android:theme="@style/dialog_style"/>

创建数据

    <string-array name="gif_auto_play_type">
        <item>Mobile data and WiFi</item>
        <item>WiFi only</item>
        <item>Never</item>
    </string-array>