The present invention discloses a multi-objective optimum designs support device using mathematical process technique, method and program thereof. A unit (101) calculates a plurality of sets of objective functions of sample sets of input parameters. A unit (102) approximates the objective functions using a polynomial on the basis of the calculation result of the unit (101). A unit (103) calculates a logical expression indicating a logical relation between arbitrary two or three objective functions, of the plurality of mathematically approximated objective functions as an inter-objective function logical expression by a QE method. A unit (104) displays areas that the values of the objective functions can take as usable areas according to the inter-objective function logical expression. Units (105) and 106 determine an optimum set of design parameters by limiting the sets of design parameters to corresponding sets of design parameters in the neighborhood of a Pareto boundary on the basis of the Pareto boundary of an objective function recognized from the usable areas displayed.