# Is function Deterministic or Probabilistic in the malicious security definition?

As you see, according to the attached definitions from "Efficient Secure Two-Party Protocols", the definition of the security in the semi-honest world has two cases for $f=(f_1,f_2)$.(deterministic and probabilistic)

Now, my question is, why the authors have not said anything about the type of the $f$ in the malicious world? I mean, whether $f$ has two types like in the semi-honest model or not?