We consider a decision-making problem to find ratings of alternatives from pairwise comparisons under several criteria, subject to constraints imposed on the ratings. Given matrices of pairwise comparisons, the problem is formulated as the log-Chebyshev approximation of these matrices by a common consistent matrix (a symmetrically reciprocal matrix of unit rank) that minimizes the approximation errors for all matrices simultaneously. We rearrange the approximation problem as a constrained multiobjective optimization problem of finding a vector that determines the approximating matrix. The optimization problem is then represented in the framework of tropical algebra. We apply methods and results of tropical optimization to solve the problem according to various principles of optimality, including the max-ordering, lexicographic ordering and lexicographic max-ordering optimality.