多目标决策几种最优解及其等价特征  

Several Optimal Solutions of Multiobjective Decision Making and Their Equivalent Characteristics

作　　者：王先甲 王秋庭[1] 

机构地区：[1]武汉冶金科技大学

出　　处：《武汉水利电力大学学报》1997年第4期99-103,共5页Engineering Journal of Wuhan University

基　　金：国家教委博士点科学基金;湖北省自然科学基金;中国博士后基金

摘　　要：给出了多目标决策一般偏好最优解概念和两种新的典型的最优解概念．在目标空间上构造了４种特殊偏好并讨论了它们的性质，指出了４种最优解（包括２种常见的最优解：Ｐａｒｅｔｏ最优解和字典序最优解）与这４种偏好下的最优解之间的等价性．An optimal solution in general preference sense and two new special optimal solutions of multiobjective decision making are proposed.Four special preference structures of multiobjective decision making are constructed and their properties are discussed.Equivalence between the four optimal solutions of preference for the four preference stuctures and four special optimal solutions,including the two optimal solutions proposed in this paper,Pareto optimal solution and alphabetical optimal solution,is proved.

关 键 词：Sk最优解 M最优解 多目标决策 

分 类 号：O221[理学—运筹学与控制论]