Abstract: This paper proposes a mathod of subjective trade-off rate which describles decision-maker's preferince in multiobjective decision-making. Decision-maker can arbitrarity determine his subjective trade-off rate,but it is not sure to be effective.The paper finds aft effective upper bound of subjective trade-off rate,which is the KuhnThcker multiplier of some mathematical programming.For the snbjective trade-off rate not being larger than the upper bonnd,the solving method and properties of the optimal solution corresponding tile trade-off rate are discussed.The paper lastly develops the process of solving multiobjective decision-making with the subjective trade-off rate method.

Key words: Multiobjective decision-making, Subjective trade-off rate, Kuhn-Tucker multiplier