A combined scalarization method for multi-objective optimization problems

In this paper, we propose a new combined scalarization method of multi-objective optimization problems by using the surplus variables and generalized Tchebycheff norm then use it to obtain some equivalent characterizations (weakly, strictly, properly) efficient solutions adjusting range parameters. These results do not need any convexity assumption conditions objective functions. Furthermore, establish approximate means method. Moreover, also present examples illustrate main results.