The phrase "a rigid set" is correct and usable in written English.
It can be used to describe a collection of rules, standards, or items that are inflexible or unchanging.
Example: "The organization operates under a rigid set of guidelines that must be followed at all times."
Alternatives: "an inflexible collection" or "a strict framework".
The advantage of this team member is it obeys a rigid set of instructions and behaves consistently.
Making cell- or virus-based therapies for use in humans requires a rigid set of quality-control standards outlined by the Food and Drug Administration.
Tragedy, Eagleton concludes, is exemplary of Wittgenstein's "family resemblances", in which features overlap rather than fit a rigid set of criteria.
Folded according to a rigid set of rules that had remained unchanged for generations, origami figures were usually flat and static.
A "rigid set of requirements" soon evolved for his "life on the erotic streets, and the main one was this: to be desired without reciprocation".
Consistent with an operational rather than experimental frame, the agency myopically focused on schedules and a rigid set of communication protocols.
Contrary to the prevalent scholarly notion of a rigid social setting strictly demarcated along confessional lines, Simonsohn's comparative study of Christian and Jewish legal behavior under early Muslim rule exposes a considerable degree of fluidity across communal boundaries.
This source of flexibility through temporary workers allowed firms to survive in a rigid institutional setting.
Nadal won the war in five rigid sets.
One thing we would like is for the air suspension (auto ride leveling and dampening) to have a third, ultra-rigid setting.
The railways need to be as flexible and responsive as possible to the shipper's requirements and not be setting a rigid supply side position.
