Abstract:The scalarization properties of (C,ε)-type and E-type unified solutions for multi-objective optimization problems are studied. First, the weighted Tchebycheff scalarization method proposed by Bowman et al. is employed to establish the scalarization results of (C,ε)-weakly efficient solutions and E-weakly efficient solutions for multi-objective optimization problems. Furthermore, based on the weighted Tchebycheff scalarization method, the scalarization results of (C,ε)-efficient solutions and E-efficient solutions for multi-objective optimization problems are established. Some weighted Tchebycheff scalarization results of (C,ε)- (weakly) efficient solutions and E- (weakly) efficient solutions for multi-objective optimization problems are obtained by adjusting parameters range of the scalarization model. The obtained scalarization results are an extension of some existing work and provide a theoretical basis for algorithm design for solving multi-objective optimization problems.