You cannot sponsor/petition a Fiancee to come to the U.S. as long as you are a Permanent Resident and not a citizen, Only U.S. citizen can...

Having said that, you can marry this person abroad, and file an I-130, however the wait time for a visa is 4-5 years...

You should consider other nonimmigrant option. It really depends on the alien's qualifications. You should consult with an immigration attorney.