I am working on a project to upgrade of FICO Blaze Advisor from version 7.5 to 7.10.1, I need a step by step guide on how to do this?

So we don't have a specific guide for this, but let me give you the steps I would advise.

Review the 7.10.1 release notes, especially about the software versions supported of the architecture. Check this against the versions of the underlying components you are using, the JDK, the application server, and so on. Once you have a compatible new environment, you can take a copy of your repository, and load it using the latest version of the software, connect to the repository and load it into the Eclipse development environment, and it will automatically update to the new version. You would then want to compile to make sure it runs properly, run any other testing you have set up, either in decision testing, brUnit, or your own test harness to ensure it is operating correctly. If you want additional assistance in this process, you can contact professional services, and they can assist in the upgrade process, but typically there's not much more to it than the steps I mention here.