改进的优势度决策法及其排序方法研究  

THE RESEARCH ON AN IMPROVED DOMINANCE DECISION MAKING METHOD AND ITS SORTING

作　　者：林志明[1] 毛政元[2] LIN Zhiming MAO Zhengyuan(School of Economics ＆ Management, Changshu Institute of Technology, Suzhou 215500 Provincial Spatial Information Engineering Research Center, Fuzhou University, Fuzhou 350002)

机构地区：[1]常熟理工学院经济与管理学院,苏州215500 [2]福州大学福建省空间信息工程研究中心,福州350002

出　　处：《系统科学与数学》2016年第11期2019-2028,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家863计划资助项目(2012AA12A208);国家社科基金资助项目(14BGL101);常熟理工学院校级科研项目(KYZ2016022Z)资助课题

摘　　要：从方案比较的视角提出了解决混合测度决策问题的优势度决策法.给出了一组优势相关的定义,改进了优势度计算公式,证明了优势度矩阵具有良好的互补性和一致性,分别用排序向量,优势向量,比较向量研究了方案优劣的排序方法及其特点,并与线性加权法和理想点法做了对比分析.结果表明,三种方法的排序结果都是一致的,但排序向量法因为包含了过多的冗余信息,计算量成倍增长;优势向量法因选择基点方案不同导致计算数值不一致;而比较向量法计算量小,精确性高,通用性好,诱导小区停车困难评价的实例分析进一步表明了该排序法的优势所在.In this paper, a dominance decision making method is proposed to solve mixed measure decision problems from the perspective of alternatives comparison.We give a group of definitions on dominance, improve the formula of computing dom- inance, testify the good complementarity and consistency owned by the dominance matrix, study the sorting methods among alternatives and their characteristics respec- tively by means of sorting vector, dominance vector and comparing vector, and make a contrast analysis between the proposed method and those such as linear weight- ing method, TOPSIS method. The results show that except for the same sorting results, sorting vector method has big computational complexity because of too much redundant information, dominance vector method has an inconsistent calculate value when selecting different alternaltive as base point, while comparing vector mathod has less computational complexity in conjunction with better accuracy and compati- bility. One illustrative numberical example about assessing guidance district parking difficulties deeply reveals the advantage of the sorting method.

关 键 词：混合测度 方案比较 优势度矩阵 一致性 比较向量 

分 类 号：O225[理学—运筹学与控制论]