群体多目标规划的联合Mond-Weir对偶

胡毓达;王晓敏

系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 1-006.

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系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 1-006. DOI: 10.12341/jssms09664
论文

群体多目标规划的联合Mond-Weir对偶

    胡毓达(1),王晓敏(2)
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JOINT MOND-WEIR TYPE DUALITY FOR GROUP MULTIOBJECTIVE PROGRAMMING

    Yu Da HU(1),Xiao Min WANG
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摘要

对于目标和约束均为不对称的群体多目标规划问题,本文研究它的联合有效解类 的Mond—Weir型对偶性,得到了相应的弱对偶定理、直接对偶定理和逆对偶定理.

Abstract

This paper is concerned with Mond-Weir type duality about the joint efficient solution in group multiobjective programming, which contains the unsymmetrical objective functions and constraints. The weak duality theorem, the direct duality theorem are derived.

关键词

群体决策 / 多目标规划 / 联合有效解 / 对偶性

Key words

Group decision making / multiobjective programming / joint efficient solution / duality property

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胡毓达 , 王晓敏. 群体多目标规划的联合Mond-Weir对偶. 系统科学与数学, 2003, 23(1): 1-006. https://doi.org/10.12341/jssms09664
Yu Da HU , Xiao Min WANG. JOINT MOND-WEIR TYPE DUALITY FOR GROUP MULTIOBJECTIVE PROGRAMMING. Journal of Systems Science and Mathematical Sciences, 2003, 23(1): 1-006 https://doi.org/10.12341/jssms09664
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