Are there any Homomorphic Encryption(HE) schemes that result in noisy answers ? By noisy i mean , the answers could be approximately near the actual answers by noise factor $\epsilon$.
For example , we could get $dec_{sk}(eval_{pk}({enc_{pk}(5) + enc_{pk}(10))) = 16}$ where as the real answer is 15. Here $enc,eval,dec$ are functions of an HE scheme and $sk,pk$ are private and public keys. The scheme could be Fully HE or Semi HE or Partial HE