三类恰当有效解集在正锥下的等价性和存在性

Equivalence and Existence of Three Types of Appropriate Efficient Solution Set under the Positive Cone

证明了Ge恰当有效解、Be恰当有效解和He恰当有效解在正锥下的等价性,且在此基础上,由在非空紧凸集上似凸多目标最优化问题的Ge恰当有效解的存在性,得出Be恰当有效解、He恰当有效解的存在性.

In the report, properly efficient solutions of Ge, Be and He were proved in the cone under the eqmva- lence. Based on it, with Ge existence of properly efficient solutions of the non-empty compact convex set to be convex multi-objective optimization problem, Be properly efficient solution and He properly efficient solution of the problem were obtained.