| 群体多目标决策联合有效解类的几何特性 |
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| 引用本文： | 胡毓达. 群体多目标决策联合有效解类的几何特性[J]. 运筹学学报, 2001, 5(3): 21-28 |
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| 作者姓名： | 胡毓达 |
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| 作者单位： | 上海交通大学应用数学系, |
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| 基金项目： | Project supported by the National Natural Science Foundation of China, No.70071026. |
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| 摘 要： | 群体多目标决策是群体决策和多目标决策的一个交叉研究领域，借助供选方案的有效数，文[1]引进了群体多目标决策问题的联合有效解类概念，并且建立了这些解类的K－T最优条件，本文研究这类解的几何特性，得到若干基本的必要条件一充分条件。
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| 关 键 词： | 群体决策 多目标决策 联合有效解 几何特性 K－T最优性条件 |
GeometricCharacterizations of a Class of Joint Efficient Solutions in Group Multicriteria DecisionMaking |
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| Abstract. GeometricCharacterizations of a Class of Joint Efficient Solutions in Group Multicriteria DecisionMaking[J]. OR Transactions, 2001, 5(3): 21-28 |
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| Authors: | Abstract |
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| Abstract: | Group multiple criteria decision making (GMCDM) is an overlapping field of group decision making and multiple criteria decision making. With the help of efficient numbers of alternatives, concepts of a class of joint efficient solutions and K-T optimality conditions of these solutions are both presented for the GMCDM problem in paper [1]. In this paper, the geometric characterizations of the joint efficient solutions are studied, and some basic necessary conditions and sufficient conditions are obtained. |
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| Keywords: | group decision making multiple criteria decision making preference relation jiont efficient solution geometric characterization. |
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