In order to study the relationship between the optimal solution of constrained robust scalarization problems and the robust effective solution and robust weak effective solution of multi-objective optimization problems, and to obtain the properties of robust solutions. Using robust scalarization methods, the constrained deterministic multi-objective optimization problem is extended to robust multi-objective optimization problems, and robust effective solutions and robust weak effective solutions are studied under different parameter conditions. Some sufficient conditions for robust efficient solutions and robust weak efficient solutions are established, and specific examples are given to explain the main results. The results are an improvement and replication of some recent research work.