Two approaches for constructing control charts to monitor multivariate attribute processes when data is presented in linguistic form are suggested. Two monitoring statistics T and W2 are developed based on fuzzy and probability theories. The first is similar to the Hotteling's T2 statistic and is based on representative values of fuzzy sets. The W2 statistic, being a linear combination of dependent chi-square variables, its distribution is derived by Satterthwaite's approximation. Resulting multivariate control charts are compared based on the average run length (ARL). A numerical example is given to illustrate the application of the proposed multivariate control charts and the interpretation of out-of-control signals.