"rigorously fair" is a correct and usable phrase in written English.
It can be used to describe something that is fair and just, but also follows strict rules and regulations. Example: The judge was known for being rigorously fair, always ensuring that every decision was based on evidence and the law, regardless of personal biases.
"She's rigorously fair, insightful and tough.
Increasingly, we're seeing that people are recognizing that original, deeply reported, rigorously fair, expert journalism is worth paying for.
"I voted for Obama because I was hoping he'd change things around here, but this year I voted for my Republican congressman because I hate bullies, and that's what people who accuse rigorously fair reporters of doctoring their interviews with regular Republican voters to sanitize their more extreme or conspiratorial or racist beliefs are: bullies.
The author is rigorously fair-minded, straining for balance at every turn, always trying to explain Reagan's side of things.
One of the improbable virtues of "Against the Machine" is that it presents a rigorously sane, fair and illuminating incarnation of its more often hotheaded author.
Or be rigorously honest with another human being.
Keep a rigorously honest journal.
"What we know now stands massively at odds with the impression the FA sought to present over the summer that this had been a rigorously run process, completely fair and there was no evidence of wrongdoing.
Will Stebbins, the channel's Washington bureau chief, told The Associated Press Thursday that it seeks to evaluate United States policy rigorously but "give everyone a fair shout".
James Rule will focus on the limits of official privacy protection policy, identifying issues and challenging us to think about what remains uncomfortably unresolved, even if the consensual "fair information practices" were rigorously and universally observed.
Infantino insisted City's deal with Etihad, which will deliver more than £400m over 10 seasons, and Paris Saint-Germain's jaw-dropping deal with the Qatar Tourism Authority, which will deliver up to €200m per season, would be rigorously scrutinised to ensure they were fair.
