Using C++ standardese, the function call syntax (operator+(x, y) or x.operator+(y)) works only for operator functions:
13.5 Overloaded operators [over.oper]
4. Operator functions are usually not called directly; instead they
  are invoked to evaluate the operators they implement (13.5.1 -
  13.5.7). They can be explicitly called, however, using the
  operator-function-id as the name of the function in the function call
  syntax (5.2.2). [Example:
    complex z = a.operator+(b); // complex z = a+b;
    void* p = operator new(sizeof(int)*n);
—end example]
And operator functions require at least one parameter that is a class type or an enumeration type:
13.5 Overloaded operators [over.oper]
6. An operator function shall either be a non-static member function
  or be a non-member function and have at least one parameter whose type
  is a class, a reference to a class, an enumeration, or a reference to
  an enumeration.
That implies that an operator function operator+() that only takes ints cannot exist per 13.5/6. And you obviously can't use the function call syntax on an operator function that can't exist.