A cipher which replaces one symbol with another is called as substitution cipher.
In poly-alphabetic substitution, each occurrence of a character may have a different substitute.
The relationship between a character in the plaintext to a character in the ciphertext is one-to-many
E.g. the letter “a” could initially be substituted as “d” (a $\rightarrow$ d) , but in its later occurrence , “a” may be substituted with letter “s” (a $\rightarrow$ s) .