"set of considerations" is correct and usable in written English.
You can use it to refer to a collection of considerations or factors that need to be taken into account. For example: "We need to take a set of considerations into account before we can make our decision."
This is a map of the current activity and expenditure in the health organization or program (or set of programs) under consideration.
This arrangement comes with its own set of considerations.
From the outset, we believed that same-sex couples had a unique set of considerations when choosing their wedding attire.
Her squadron's focus was to keep troop morale high, which can present a different set of considerations for female soldiers.
And so during the final two years of his term, Governor Romney's balance sheet included a new and weighty set of considerations.
The attacks of Sept. 11 confront us with a whole new set of considerations, from our ongoing vulnerability to international terrorism to the possibility that terrorists may someday gain access to weapons of mass destruction.
Since then the quest to be modern — and that is really what we are talking about — has been complicated by a new set of considerations, none of them less valid than wit and imagination.
The choice of Mr. Carter to go to Pyongyang was weeks in the making, said a person briefed on the process, and reflected a complex set of considerations for the Obama administration.
In 2007, the economists Elizabeth Cascio and Diane Whitmore Schanzenbach decided to analyze the data of Tennessee's Project STAR — an experiment originally designed to test the effects of classroom size on learning — with a different set of considerations: How would the relative class composition affect student performance?
This set of considerations is represented, in generic form, by Fig. 1.
