How to serialize a Class with an Interface instance attribute? Got NotSerializableException

I have a class:

public class MyEntity implements Serializable {

    public MyInterface myInterface;

    public String name;
    public int    value;

    public MyEntity(String name, int value) {
        this.name = name;
        this.value = value;
    }
}

And an Interface:

public interface MyInterface {
    void customFunction(int value);
}

The point of this structure would be to fulfill the purpose of each and every instance of MyClass could have different implementation of customFunction(value).

So just like:

MyEntity myEntity = new MyEntity("My entity", 100);
    myEntity.myInterface = new MyInterface() {
        @Override
        public void customFunction(int value) {
            //This is my custom function.
            //This can be different for every instance of MyEntity class
        }
    };

However If I would like to serialize an instance of MyClass, I get NotSerializableException.

java.io.NotSerializableException: com.adamvarhegyi.duelsofcodrer.controller.MainActivity$1 at java.io.ObjectOutputStream.writeNewObject(ObjectOutputStream.java:1344) at java.io.ObjectOutputStream.writeObjectInternal(ObjectOutputStream.java:1651) at java.io.ObjectOutputStream.writeObject(ObjectOutputStream.java:1497) at java.io.ObjectOutputStream.writeObject(ObjectOutputStream.java:1461) at java.io.ObjectOutputStream.writeFieldValues(ObjectOutputStream.java:959) at java.io.ObjectOutputStream.defaultWriteObject(ObjectOutputStream.java:360) at java.io.ObjectOutputStream.writeHierarchy(ObjectOutputStream.java:1054) at java.io.ObjectOutputStream.writeNewObject(ObjectOutputStream.java:1384) at java.io.ObjectOutputStream.writeObjectInternal(ObjectOutputStream.java:1651) at java.io.ObjectOutputStream.writeObject(ObjectOutputStream.java:1497) at java.io.ObjectOutputStream.writeObject(ObjectOutputStream.java:1461) at com.adamvarhegyi.duelsofcodrer.controller.MainActivity.onCreate(MainActivity.java:62) at android.app.Activity.performCreate(Activity.java:6251) at android.app.Instrumentation.callActivityOnCreate(Instrumentation.java:1107) at android.app.ActivityThread.performLaunchActivity(ActivityThread.java:2369) at android.app.ActivityThread.handleLaunchActivity(ActivityThread.java:2476) at android.app.ActivityThread.-wrap11(ActivityThread.java) at android.app.ActivityThread$H.handleMessage(ActivityThread.java:1344) at android.os.Handler.dispatchMessage(Handler.java:102) at android.os.Looper.loop(Looper.java:148) at android.app.ActivityThread.main(ActivityThread.java:5417) at java.lang.reflect.Method.invoke(Native Method) at com.android.internal.os.ZygoteInit$MethodAndArgsCaller.run(ZygoteInit.java:726) at com.android.internal.os.ZygoteInit.main(ZygoteInit.java:616)

So my question is how could I achieve this? How could I serialize class instances with Interface instance attributes?

Update:

This is the full code to make it clearer:

(I have made inner classes from MyEntity and MyInterface to make it more simplified.)

package com.adamvarhegyi.duelsofcodrer.controller;

import android.app.Activity;
import android.content.Context;
import android.os.Bundle;

import com.adamvarhegyi.duelsofcodrer.R;

import java.io.FileNotFoundException;
import java.io.FileOutputStream;
import java.io.IOException;
import java.io.ObjectOutputStream;
import java.io.Serializable;

public class MainActivity extends Activity {

public interface MyInterface extends Serializable {
    void customFunction(int value);
}

public class MyEntity implements Serializable {

    public MyInterface myInterface;

    public String name;
    public int    value;

    public MyEntity(String name, int value) {
        this.name = name;
        this.value = value;
    }
}

@Override
protected void onCreate(Bundle savedInstanceState) {
    super.onCreate(savedInstanceState);
    setContentView(R.layout.activity_main);


    MyEntity myEntity = new MyEntity("My entity", 100);

    myEntity.myInterface = new MyInterface() {
        @Override
        public void customFunction(int value) {
            //This is my custom function.
            //This can be different for every instance of MyEntity class
        }
    };


    //Trying to serialize
    try {
        FileOutputStream fos = openFileOutput("myfile", Context.MODE_PRIVATE);
        ObjectOutputStream oos = new ObjectOutputStream(fos);
        oos.writeObject(myEntity);
        oos.close();
        fos.close();
    } catch (FileNotFoundException e) {
        e.printStackTrace();
    } catch (IOException e) {
        e.printStackTrace();
    }

}
}