An　incomplete　probability　linguistic　preference　relation　is　introduced　for　establishing　a　multi-criteria　group　decision-making　method.　In　this　method,　a　minimized　consistency　bias　model　is　used　to　inference　the　unknown　information.　Using　such　statistical　variance　based　method,　the　alternatives　ranks　by　each　decision-maker　can　be　gotten.　Then,　these　ranks　are　combined　to　get　the　ideal　choice　of　the　group.　Finally,　some　numerical　examples　are　also　proposed.　©　2021　IEEE.