Strictly you are right. However, by the strict definition of a compiler, an interpreter is nothing but a sort-of "real time compiler". But a compiler has come

Strictly you are right. However, by the strict definition of a compiler, an interpreter is nothing but a sort-of "real time compiler". But a compiler has come to mean a program that translates source-code into machine code. By this new understanding, a transpiler is a combination of a compiler and a decompiler with different input and output languages. So po-tay-toes, po-taa-toes. No one cares, we know what is meant by transpiler.