具有连续型目标函数的优化模型（英文）

On the Optimization Problems with Continuity-type Objective Functions

把多目标规划(MP)和具有可数无穷多指标优化模型(CIP)推广并引进一种具有连续型目标函数的优化模型(CP).给出其有效解和真有效解的相关概念,介绍一些例子说明它在理论和应用方面都是有意义的研究课题.得到CIP模型与CP模型的有效解之间、真有效解之间的两个关系定理.

Multiohjective optimization problem（MP） and optimization problem with countably infinitely many objective functions（CIP） are extended to the op- timization problem with continuity-type objective funetions（CP）. The related concepts of efficient and properly efficient solutions are put forward, and some examples are given to show that it is a meaningful topic for theories and applications. Two related theorems about the efficient solutions and properly efficient solutions between CIP and CP are obtained.