How to set default file system permission?

Default file system currently is 664.
I would like to get it as 774.
As other users of the same group was not able execute the file created any any user.
chmod cannot be used in my case. (Files are created and executed the programs owned by different vendors)
we know that umask is not going to help here.

Kindly help me out.

You have to use chmod and
pick one of:

  1. su to root to run chmod
  2. login as each of the vendors, then chmod that filetree.
  3. sudo as in #1 or #2

There aren't any other choices. Only the file owner or root can do what you want.

Any option other than chmod?
There should be a way where we can mention the default permision for any new file that are been created right?
If the Current default permission is 664, there should be way to control it.
(apart from chmod/ umask)

You can use

umask

command to set default file permissions.
For eg,

umask 022

will set the default file permission as 755