文档介绍：编号:
毕业(论文)
课题: 属性值为区间数的多属
性决策方法及其应用
院(系): 数学与计算科学学院
专业: 数学与应用数学
学生姓名:
学号: 0800730134
指导教师单位: 数学与计算科学学院
姓名:
职称: 讲师
√
题目类型: 理论研究实验研究工程设计工程技术研究软件开发
2012 年6 月1 日
摘要
多属性决策(或称之为有限个方案的多目标决策)是现代决策科学的一个重要组成部分,它的理论和方法在工程设计、经济、管理和军事等诸多领域中有着广泛的应用。而近年来,由于客观事物的复杂性、不确定性以及人类思维的模糊性,对不确定环境下的多属性决策问题研究已引起人们的极大关注,同时取得了丰硕的成果。区间数多属性决策问题的研究有以下几种情况:(1)将线性规划方法应用于区间数多属性决策;(2)将误差分析理论应用于区间数多属性决策问题,提出了误差分析法;(3)将传统的灰色关联分析方法扩展到区间数中,给出区间数多属性决策的灰色关联分析法;(4)借助区间数排序方法的研究,对决策方案进行排序等等。本文主要对属性值为区间数的多属性决策问题用灰色关联分析法来进行排序,进行了实例分析,并和其他一些方法的结果进行比较分析。通过对各种方法的应用,解决了一些实际的多属性决策问题。结果表明,灰色关联分析法在多属性决策中具有很好的适用性和有效性。
关键词: 多属性决策;灰色关联;最优;区间数;
Abstract
Multiple attribute decision making (or multi-objective decision making of limited projects) is a very important part of the modern decision-making. The theories and methods of it are extensively applied to various areas such as engineering design, economy, management, military and many other fields. In recent years, however, because of plexity and uncertainty of the objective things and the fuzziness of human thinking, the uncertain environment of multiple attribute decision making has aroused many attentions. Researchers have made great achievements about it. The aspects of researches about interval-valued multi-attribute decision-making problems are mainly as follows:(1) The linear programming method is applied to the interval multi-attribute decision making; (2) The error analysis theory is applied to the interval number multi-attribute decision making; (3) The grey relational analysis method is applied to the interval multi-attribute decision making; (4) Projects are ordered through the method of interval number ordering. This paper applies the gray relational analysis method to solve the multi-attribute decision-making problem whose attribute values are interval numbers. Some practical examples have been analyzed. Some other methods are also used to parative analysis. The results indicate the effectiveness of the method.
Key words:Multiple att