Alex Hinton said his cat Papaya was mauled to death by the dogs on 3 August near his home in Meanwood.
The 34-year-old said: “I am usually fairly stoic, but I did shed a few tears because we put a lot of love into looking after these animals.
“When that gets taken away from you it feels painful.
“I spoke to a neighbour and he had been aware of these dogs for a while.
“And there was actually a neighbour of ours a couple of streets over who lost a cat a couple of years ago to these dogs.”
The doctor and his fiancée now keep their other cat indoors in fear of her being attacked.
He said: “There’s every chance that a child could be out and the dogs take an interest in the child and something terrible happens.
“That would be just completely unconscionable given that there has been an opportunity to try to get control of this before it escalates.”
