Names

Asalaamu Alaikum Mufti Saheb

I like the name Fatimah Zahra because of it being the Prophets SAW daughters name. I would like to name my child this, but people say its better to keep only one name either Fatima or either Zahra. this is because people dont call the children by there full names the either say fati or just fatima, and they say this is problem and is wrong, the same would go for children whos names are Mohammed Farid , Mohammed Zayaan, etc etc
your explanation would be high appreciated
. Shukran
waslm