The phrase "a unified set of" is correct and usable in written English.
It can be used when referring to a collection of items, ideas, or elements that are organized or integrated into a cohesive whole.
Example: "The research team presented a unified set of findings that supported their hypothesis."
Alternatives: "a cohesive collection of" or "an integrated group of".
This would replace our existing system with a unified set of rules for pass-throughs.
But the hope of a unified set of equipment seems to have gone.
Slowly, however, the U.F.C. started repairing the sport's image, working with state athletic commissions, which increasingly began regulating mixed martial arts and establishing a unified set of rules.
The standards build on a 2009 agreement that established a unified set of rules governing fuel economy and carbon dioxide pollution from automobiles and light trucks.
The principles of just war theory were then understood to be part of a unified set of objective moral principles governing all areas of life.
The new standards build on a historic 2009 agreement that for the first time established a unified set of rules governing both fuel economy and carbon-dioxide pollution.
"By no means is the one you're seeing our favicon final; it was a first step to a more unified set of icons".
Jim Comfort, IBM's vice president of enterprise initiatives, argues that the deals aren't a response to Cisco's data center push but rather an attempt to create a more unified set of data center products for customers.
Whereas we can propose a minimum set of recommendations, a single unified set of annotation guidelines or methods is not achievable nor is it desirable.
The report hints at where he's going: toward a more unified set of programs whose benefits provide a more effective incentive to get and keep a job.
But politics in the rest of Britain, which followed a reasonably unified set of rhythms and responses until the late 20th century, has now headed in a variety of very different directions.
