New approach for uncertain random multi-objective programming problems based on C_ESD criterion

To overcome the defects that traditional approach for multi-objective programming under uncertain random environment (URMOP) neglects randomness and uncertainty of problem volatility results, a new is proposed based on expected value-standard deviation value criterion (C ESD criterion). Firstly, effective solution to URMOP defined; then, by applying sequence relationship between variables, UR-MOP transformed into single-objective (SOP) (URSOP), which are deterministic counterpart C criterion. Then validity proved optimal SOP also efficient problem; finally, numerical example case application presented show effectiveness approach.