群体多目标决策综合有效数法的研究

发布时间：2018-06-23 19:36

本文选题：群体多目标决策 + 综合有效数　；参考：《温州大学》2015年硕士论文

【摘要】：群体多目标决策是群体决策和多目标规划相交叉的一个新领域,它的理论和方法在现代社会的复杂决策问题中有着广泛的应用前景。本文首先简要介绍群体多目标决策有关问题的形成背景与研究现状;然后引入群体多目标决策问题供选方案的较多联合综合有效解类,并研究了这类解存在的必要条件和充分条件,进一步证明了这类解的几何特性;接着,定义了群体多目标决策问题综合有效偏爱的概念,并得到从个体偏爱到群体偏爱的综合有效映射,基于映射的一些基本性质,给出了群体多目标决策问题的综合有效排序方法;最后深入到字典序意义下群体多目标决策问题的强-弱较多综合有效解的研究,也获得了群体多目标决策问题的相关理论和性质。
[Abstract]:Group multi-objective decision making is a new field where group decision-making and multi-objective programming are intersected. Its theory and method have a wide application prospect in complex decision-making problems in modern society. In this paper, the background and research status of the problems related to group multi-objective decision making are briefly introduced, and then the more joint comprehensive efficient solutions of group multi-objective decision making problems are introduced. The necessary and sufficient conditions for the existence of such solutions are studied, the geometric properties of such solutions are further proved, and the concept of comprehensive effective preference for group multi-objective decision problems is defined. The synthetic efficient mapping from individual preference to group preference is obtained. Based on some basic properties of mapping, a comprehensive efficient ranking method for group multi-objective decision making problem is given. Finally, in the sense of dictionary order, we deeply study the strong and weak multi-objective decision making problem, and obtain the relevant theory and properties of the group multi-objective decision making problem.
【学位授予单位】：温州大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：O225

【参考文献】