Hello Kubur,
I can be wrong by using the term "Khodmi/ Bou saadi" but this is for me the closest term that I can apply to this set, far from flyssa and Nimcha.
I've previously seen a pair similar to this one, but with two steel knives, sold as a barber knives... but honestly even if the steel one is realy sharp I don't think it could be used as a barber tools.
The wood one is really strange and I can't figure the use of this one