No Operator "<<" Matches These Operands

no operator matches these operands

If you want to use std::string reliably, you must #include <string>.

No operator [ ] matches these operands C++

You are trying to use operator[] on const DayOfYearSet &other, but that function is defined to only work on objects that are not const.

You should correctly const-qualify this function.

const DayOfYearSet::DayOfYear DayOfYearSet::operator[](int index) const
//                     This function can be used on const objects ^^^^^

no operator = matches these operands error

The immediate problem was identified by @S.M., position1 is not the correct type. There are other code improvements that you should consider:

1. Use automatic type deduction. @Someprogrammerdude suggests using auto position1 ... which is available in C++11 onwards.
2. @Evg suggests you use std::begin() and std::end() instead of x, x+size pairs. This removes explicit size parameters and, therefore, reduces the probability of programmer errors because the compiler or runtime code determines the size for you.
3. As @Someprogrammerdude and I suggested, you can use initializer lists in C++11 onwards so you can populate a std::vector directly.
4. Do not use a blanket using namespace std; statement in your code. Bringing too much into the global namespace could cause name conflicts in larger code bases.

Error: no operator == matches these operands

You are compiling the project with Unicode, so Process32FirstW() will be called instead of Process32First(). Change your function to take wstring as parameter or convert name to wstring before comparison:

std::wstring wName(name.begin(), name.end());
if (pe->szExeFile == wName) {

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