Compressing multiple files in different folders without folder structure

Currently I create a copy of my log files like this:

# tar -cvzf /var/www/vhosts/example.com/httpdocs/myfiles.tar.gz 
  /var/www/vhosts/http://ift.tt/1DCy0VI       
  /var/www/vhosts/example.com/httpdocs/app/tmp/logs/error.log 
  /var/log/mysqld.log
  /var/log/messages 
  /var/log/httpd/access_log
  /var/log/httpd/suexec_log 
  /var/log/httpd/error_log 
  /var/log/sw-cp-server/error_log

But this creates a tar files with the directory structure. To avoid folder structure it seems like I should make cd for each file, so all files will be saved to tar file without subfolders. (Also there is a problem with tar.gz files, tar command doesn't permit to update archieve file, if file is compressed)

But in this case there will be multiple files with same name, for example 2 file with name access_log.

So I need to change destination log file name.

For example

/var/www/vhosts/http://ift.tt/1DCy0VI   to  -var-www-vhosts-example.com-logs-access_log

/var/log/httpd/access_log  to   -var-log-httpd-access_log

Is this possible with script ?