import java.awt.*;
import java.awt.event.*;
import javax.swing.*;
import MyWindowListener;

public class HideButton  extends JFrame
{   
public JButton east,west,south,north,centre;
public Container c;
public HideButton()
{
    JButton east = new JButton("隐藏东方");
    JButton west = new JButton("隐藏西方");
JButton south = new JButton("隐藏南方");
JButton north = new JButton("隐藏北方");
JButton centre = new JButton("隐藏中央");
c = getContentPane();
c.setLayout(new BorderLayout());
c.add(east,BorderLayout.EAST);
c.add(south,BorderLayout.SOUTH);
c.add(west,BorderLayout.WEST);
c.add(north,BorderLayout.NORTH);
c.add(centre,BorderLayout.CENTER);
        east.addActionListener(new ButtonListener());
south.addActionListener(new ButtonListener());
west.addActionListener(new ButtonListener());
north.addActionListener(new ButtonListener());
centre.addActionListener(new ButtonListener());
setSize(300,200);
show();
}
class ButtonListener implements ActionListener
{
  public void actionPerformed(ActionEvent e)
{
  String command = e.getActionCommand();
       if(command.equals("隐藏东方"))
         east.setVisible(false);
           if(command.equals("隐藏南方"));
              south.setVisible(false);
           if(command.equals("隐藏西方"));
              west.setVisible(false);
           if(command.equals("隐藏北方"));
             north.setVisible(false);
           if(command.equals("隐藏中央"));
         centre.setVisible(false);
       }
  }
public static void main(String[] args) 
{
HideButton app = new HideButton();
app.addWindowListener(new MyWindowListener());
}
}
//编译可以通过，但是运行时不正常，估计是setVisible的问题

你的代码写得太麻烦了，帮你改改，如下：
import java.awt.*;
import java.awt.event.*;
import javax.swing.*;

public class HideButton  extends JFrame
{
        public JButton east,west,south,north,centre;
        public Container c;
        public HideButton()
        {
            JButton east = new JButton("隐藏东方");
            JButton west = new JButton("隐藏西方");
                JButton south = new JButton("隐藏南方");
                JButton north = new JButton("隐藏北方");
                JButton centre = new JButton("隐藏中央");
                c = getContentPane();
                c.setLayout(new BorderLayout());
                c.add(east,BorderLayout.EAST);
                c.add(south,BorderLayout.SOUTH);
                c.add(west,BorderLayout.WEST);
                c.add(north,BorderLayout.NORTH);
                c.add(centre,BorderLayout.CENTER);
                east.addActionListener(new ButtonListener());
                south.addActionListener(new ButtonListener());
                west.addActionListener(new ButtonListener());
                north.addActionListener(new ButtonListener());
                centre.addActionListener(new ButtonListener());
                setSize(300,200);
                this.setDefaultCloseOperation(JFrame.DISPOSE_ON_CLOSE);
                show();
        }
        class ButtonListener implements ActionListener
        {
          public void actionPerformed(ActionEvent e)
                {
                  ((JButton)e.getSource()).setVisible(false);
               }
          }
        public static void main(String[] args)
        {
                HideButton app = new HideButton();
        }
}

而且还没有setActionCommand()

Button bt = new Button();
        bt.setVisible(false);