Woolfel has this write up on Business Rule types. He lists them here, and explains them here.
His list reads like this.

Decision support
Data Validation
Message Routing
Process Flow
Machine Learning

Nice list. I thought I'll add to this list. Some other types that you can list are

Rate Calculation rules - Interest rates, commission rates, premium calculation, claim amounts etc
Recommendation […]

Step 10 of 10 Steps towards the Agile Enterprise
Now, we have seen Policy Capture, decision automation, policy management & governance and Policy optimization (Business Rules Analytics) till now in this series.
I have argued that you need Business Rules technology because it gives you visibility into the system and helps the Enterprise take control of their […]

Step 9 of 10 Steps towards the Agile Enterprise
Till this point in our story, we have seen how to manage Decision automation, policy management, and transfer of Business Decision control & authority back to the business.
A Business is a business after all. The question that will be asked next is this !
We have our business […]

Step 8 of 10 Steps towards the Agile Enterprise
In Step 7, I discussed how an organization could promote collaboration and involve the business in Business Decision making handled by their systems.
The next logical step is then to evolve systems and working practices to manage, secure and govern access to your Business Rules.
Before we go […]

Step 7 of 10 Steps towards the Agile Enterprise
I introduced a Business Rules Management System in my last post.Now, to provide a definition of a Business Rules Management System,
A Business Rules Management System is a software technology that allows Enterprises to capture, create, test, deploy, and manage their Business Policies (Business Rules). A BRMS also […]

Step 6 of 10 Steps towards the Agile Enterprise
By this step, the business policies that drive decision making are well known and centrally controlled. As I had discussed in my previous post, many of the business decision could be taken by the system itself.I had concluded Step 5 with this line,
Your rules are […]

Step 5 of 10 Steps towards the Agile Enterprise
In my previous post, I discussed the pains that an enterprise goes though when attempting to automate its business decision making steps in a business process. I concluded by highlighting the need to get back to the drawing table, and collate and capture all the […]

Step 4 of 10 Steps towards the Agile Enterprise
Series Recap
1. Step 1: Process Automation - Everyone Starts Here
2. Step 2: The Well defined Process
3. Step 3: The Managed Process
Answer This : 80% of your process & workflow is now automated, but how much […]

Step 3 of 10 Steps towards the Agile Enterprise
In Step 1, I talked about how the Enterprise goes ahead with Process Automation.
In Step 2, I showed how efforts are made to understand how things work so that the process can be improved.By the end of Step 2, the Enterprise would […]

Step 2 of 10 Steps towards the Agile Enterprise
In Step 1, I touched upon why enterprises want to automate their business work processes.
Ok, you have automated your process, so are you done? Things Rarely happens that way. What has happened till now is that your work process automation has begun, and is in its initial […]