多目标决策的集诱导偏好最优解与∧-极点

The Optimal Solution for Preference Induced by a Set and∧-Extreme Points in Multiobjective Decision-making

讨论了集诱导偏好最优解与人∧-极点等价性,提出了多目标决策偏好最优解和集诱导偏好的概念,给出了两个∧-极点存在性定理和推广了由Tanoni等人提出的有效点存在性定理。最后,在∧-极点存在性定理的基础上,讨论了集诱导偏好最优解的存在性和最优解集的估计式。

This paper, firstly, advances the concepts of the preference induced by a set and its optimal solu tion in multiobjective decision-making. Secondly, the equivalence between the optimal solution for preference in duced by a set and (?)-Extreme point is discussed and two (?)-Extreme existence theorems are gotten. Then, we extend the existence theorem of the efficient point proposed by Tanoni et al. Finally, an existence theorem of the optimal solution for preference induced by a set and an estimating equation are given.