According to the uncertainty of interval 2tuple linguistic evaluation information, by considering the distribution of interval 2tuple linguistic variables, the 2tuple linguistic connection variables and the 2tuple linguistic normal distribution variables are defined. Their operation laws are studied, and the information aggregation operators of 2tuple linguistic connection variables are presented. Based on fuzzy multiple attribute group decisionmaking problem with completely unknown weight of interval 2tuple linguistic variable attributes of decisionmaking matrix elements, by using the 2tuple linguistic variable variance of normal distribution, by constructing optimization model to determine optimal attribute weight, the fuzzy multiple attributes group decisionmaking method is proposed based on 2tuple linguistic connection variable information, and finally numerical example is used to analyze the feasibility and validity of this method.