"The comments are shameful and mockery of the law," the girl's mother told PTI and asked the authorities to take legal action against Mukesh Singh, the driver of the bus in which the 23-year-old paramedical student was brutally gangraped by six men on December 16, 2012.
In the interview conducted by British filmmaker Leslee Udwin and BBC, Singh said women who went out at night had only themselves to blame if they attracted the attention of gangs of male molesters.
The victim's mother said the crime against women is increasing because of the mindset that women should not go out at night.
"It is not a big thing for the accused to pass a statement like this. One who is jailed for such heinous crime can pass a statement on anybody. The situation of crime against women in the country is rising because of people opposing women to go out at night," the victim's mother said.
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Equally critical of Singh's remarks, the girl's father said: "We cannot punish anyone. If I had to punish then I would have given the same punishment they gave it to my daughter. But we have law which will decide his fate."
"This is just not about my daughter, with his statement he has raised question on our society. If he is not hanged then anyone can rape a woman, causing a threat to the future of the country. I will contact the government and appeal to it to hang him," he said.
The girl's friend was battered with an iron rod, which was later used to torture her. The couple were then thrown from the bus.
The victim succumbed to her injuries 13 days later at a Singapore hospital.