I brought a computer with Radeon HD 7470 graphics card. But My computer graphics card stuck with crimson edition. which one is the best crimson or catalyst.
This is one of those rare "which is best" questions that actually has a valid, evidence-based answer.
When AMD abandoned this generation of GPUs, they left you with 2 choices, the last ever release 15.7.1 or a newer Crimson beta.
The general guide for this is to use "the release"
Clean install 15.7.1 [there's an option in the Advanced section in the installer to make it do a full clean install]
So long as this then works… stick with it.
The few optimisations added to the beta really only come into play for very few applications & overall it hasn't proven to be more stable than the last 15.7.1 release. As the beta will never be fixed, it's usually not worth the effort.
I used to work support for a gaming platform & this question cropped up frequently. Answer is based on many empirical trials