The International Boxing Association has claimed that it is striving for a level playing field, while Russian officials said that boxers should show "dignity in defeat", following Michael Conlan's controversial loss to Russian boxer Vladamir Nikitin in the bantamweight quarter-finals at the Olympics.
An AIBA spokesman said Conlan was a champion who came to Rio with high expectations and was understandably disappointed to have lost.
"Afterwards, it's his personal judgement," he said.
"All I can say is that AIBA is striving for a fair, level playing field.
"The idea is not to benefit one country towards another, we represent 200 national federations. These statements are groundless but he's free to have his opinion."
Speaking about the new scoring system at the Olympics, AIBA vice-president Tom Virgets said: “What is different is that in the past you could just be the most aggressive boxer and maybe slap with the glove.
"The idea of technique is that you get more points for an individual that puts together nice combinations, an individual who through tactics makes someone else fight their bout for them."
Meanwhile, Russian officials said the judging had to be respected and boxers should show dignity in defeat.
"The Russians are constantly being accused of something. Let's deal with these things in a dignified way," said Igor Kazikov, head of the Russian delegation at the Games.
"There were judges sitting there, professionals who take responsibility for these things. Why is there this mistrust all the time?"
Dozens of Russian athletes, including virtually the entire track and field team, were suspended as part of sanctions against the country for a systematic state-backed doping programme that included the Sochi 2014 Winter Olympics.
Russian heavyweight Evgeny Tishchenko was booed when he won gold on Monday after what was considered another outrageous decision by the boxing judges.
The scoring system has been changed for Rio from a computerised system to a professional-style, 10-point one.
Conlan, who had been the last Irish boxer left in the tournament, lost 28-29 on all three scorecards.
The three judges, from Brazil, Sri Lanka and Poland, all gave Conlan the second round 10-9 10-9 10-9 but scored the first and last in favour of his rival.
"I was boxing the ears off him, I don't know how it went against me," said Conlan, who lingered in the ring after the fight, twirling his vest around his head to applause from the crowd. He also gave the judges a piece of his mind.
"I thought the first round I won easy by boxing him. Second round I completely annihilated him standing in close to him. Third round the same, probably a bit closer than the second. I put a serious shift in.
"He was completely surprised (to win). He roared like he'd won the Olympic gold... He knows he didn't win. The American kid's going to pick him to shreds and I wouldn't be surprised if they rob him too."
Nikitin will fight highly-rated Shakur Stevenson in the semi-finals, with both guaranteed at least bronze medals.
Former Ireland coach and present US coach Billy Walsh joined in the criticism after his light-welterweight Gary Russell missed out on a medal when a split decision went to Uzbekistan's Fazliddin Gaibnazarov.
"The judging has been atrocious," he told reporters.
"The last time I saw it as bad was in Seoul in 1988 when Roy Jones got robbed in the final.
"I saw Michael Conlan's first two rounds in the changing area and he completely out-boxed this guy. He out-fought him in the second round and out-boxed him in the first. And he didn't get it."