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

作　　者：粟其峰[1] 

机构地区：[1]贵州大学理学院,贵州贵阳550025

出　　处：《海南大学学报（自然科学版）》2011年第2期117-119,共3页Natural Science Journal of Hainan University

基　　金：国家自然科学基金(10771042)

摘　　要：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.

关 键 词：多目标最优化 Ge恰当有效解 Be恰当有效解 He恰当有效解 等价性 存在性 

分 类 号：O221.6[理学—运筹学与控制论]