We present the results for the polarizations of different octet hyperons produced in the current fragmentation regions of μ- N or νμ N deep-inelastic scatterings using different models for spin transfer in fragmentation processes. We found that measuring the polarization of Σ+ produced in these processes can give a good test to the validity of the different spin transfer models. Measuring PΣ+(T) in transversely polarized case should be able to give an useful check whether in high-energy fragmentation process the polarization transfer mechanisms are the same for both the longitudinally polarized and transversely polarized cases. A comparison with the existing data is made.