Q: Macbook air wifi keeps dropping after sleep

Test after taking each of the following steps that you haven't already tried. Back up all data before making any changes.

1. Make sure the network is on the preferred list by following these instructions. It's important to read the article carefully, as it's the starting point for any further efforts to solve the problem. If you skip any of the steps, the problem may not be solved. Make sure the box marked

Remember networks this computer has joined

is checked.

2. Follow the instructions in this support article under the heading

Symptom: After restarting or waking from sleep, my computer might not connect to the Internet

3. Reset the PRAM.

4. Make a note of all your settings for Wi-Fi in the Network preference pane, then delete the connection from the connection list and recreate it with the same settings. You do this by clicking the plus-sign icon below the connection list, and selecting Wi-Fi as the interface in the sheet that opens. Select Join other network from the Network Name menu, then select your network. Enter the password when prompted and save it in the keychain.

5. From the Location menu at the top of the Network preference pane, select Edit Locations. A sheet will drop down. Click the plus-sign button to create a new location. Give it any name you want. In the new location, set up the Wi-Fi service with the same settings you used before. Click Apply and test.

6. Launch the Keychain Access application. Search for and delete all AirPort network password items that refer to the network. Make a note of the password first.

7. Repair permissions on the startup volume.

8. Turn off Bluetooth and test.

9. Reset the System Management Controller.

10. This step shouldn't be necessary, but has been advised by Apple Support in some cases, apparently as a workaround for a bug. Open the Energy Saver pane in System Preferences. If applicable, click the padlock icon in the lower left corner to unlock the settings. Enter your administrator login password when prompted.

Select the Power Adapter tab and uncheck the boxes marked

Wake for Wi-Fi network access

and

Enable Power Nap...

if present. Then, if the computer is a MacBook, select the Battery tab and uncheck

Enable Power Nap...

11. Reinstall OS X.

I had the same with my Late 2013 MacBook Pro.  The following terminal script fixed it for me.

sudo defaults delete /Library/Preferences/com.apple.Bluetooth LastA2DPDevice

Start up in Recovery mode. In the OS X Utilities screen, select Get Help Online. A clean copy of Safari will launch. No plugins, such as Flash, will be available. While in Recovery, you'll have no access to your saved bookmarks or passwords, so make a note of those before you begin, if they're needed for the test.

Test. After testing, restart as usual and post the results.