I think that is an excellent idea, as this is a problem for many would be entrepreneurs who just aren`t too sure on what they should start up.
That said, business ideas are very much a personal choice, and may be difficult to generate with an algorithm based on a questionnaire. That`s not to say it can`t be done, it will, like you said take a lot of work and a lot of attention to detail. But I think it would be a great idea to pursue.
I`m sure you have already thought of this, but make sure you take into account factors other than tastes like growth opportunities, equipment needed, etc... and match these up to how big or where individuals would want to run their business.
Motivation for Entrepreneurs