基于MATLABAHP实现.doc

目 录 中英文摘要 2 1． 层次分析法 3 1．1 概述 3 1．2 AHP的基本原理和步骤[6] 3 1.2.1 递阶层次结构原理 3 1.2.2 标度原理 4 1.2.3 排序原理 4 1.3 AHP的层次总排序及其一致性检验 6 1.3.1 层次总排序 6 1.3.2 AHP的一致性检验 7 2．MATLAB的基本内容 7 2.1 MATLAB矩阵 8 2.1.1 MATLAB矩阵的建立 8 2.1.2 矩阵的特征值与特征向量 8 2.2 MATLAB的M文件 9 3．基于MATLAB的AHP实现 10 3．1 AHP的MATLAB的计算流程框图 10 3．2 平均随机一致性指标的MATLAB实现 10 3．3 AHP各环节的 MATLAB实现 12 3.3.1 特征向量及其归一化的MATLAB实现 12 3.3.2 一致性检验及单排序的MATLAB实现 13 3.3.3 一致性检验及总排序的MATLAB实现 14 3.3.4 选择最优排序 15 4．基于MATLAB的AHP应用 16 4．1 挑选合适工作问题 16 5．结束语 26 参考文献 27 致谢 28 基于MATLAB的AHP实现 摘 要：在实际统计分析工作中，常会遇到多指标的综合评价和多目标决策的问题。许多人利用层次分析法将复杂的问题分解为若干层次和若干因素，在各因素之间进行简单的比较和计算，就可以得出不同方案的权重，为最佳方案的选择提供依据Abstract: In practice, statistical analysis work, we often encounter multi-index comprehensive evaluation and multi-objective decision-making.?Many people use AHP to the complex problem into a number of levels and a number of factors, among various factors, a simple comparison and calculation can be drawn on the weight of different options, in order to provide a basis for selection of the best programs make the problem simple?of.?However, due to the calculation conditions, the results can not be given in a timely manner, thus affecting the on-site decision-making.?MATLAB is the most outstanding application of science and technology, using MATLAB to determine the right level of analysis, analysis and computation processing, in order to provide decision makers with convenient user-friendly dialog interface.?When the decision-makers in MATLAB software, enter their own hierarchy of the program and judgment matrix to determine quickly after the corresponding results obtained, in order to solve practical problems to provide a quick method.?Thereby enhancing the efficiency of peoples decision-making, but also for the scientific and technological workers to use AHP to provide a new idea. Keywords: AHP；MATLAB Applications 1． 层次分析法 1．1 概述 在市场竞争日益激烈的今天，企业或个人经常面临复杂的决策问题，不仅需要快速作出决策，而且需要解决决策问题中多种不确定性所带来的困难。决策分析问题中的重要组成部分是多属性决策，虽然多属性决策问题的背景不同，但它们通常具有下列共同特点:[1] (1)属性之间通常是