对偏好关系不具备连通性、且相关问题的偏好具有一定一致性的决策问题进行了分析,阐述了显示偏好与决策函数间的关系,用价值函数和满意阈值将这类决策问题描述为满意准则下的基数效用的形式,最后论证了决策者偏好分别满足非循环性和传递性时的决策函数与满意阈值间的关系和特性. Analyze the decision-making problems that the preference relation does not have the connectivity and the preference of the relevant problem has a certain consistency, and expound the relationship between the display preference and the decision function, and describe the decision-making problem as the satisfaction criterion with the value function and the satisfaction threshold Finally, we prove the relationship and characteristics between the decision-making function and the satisfaction threshold when the policy-maker's preference satisfies the non-cyclical and transitive respectively.