Estimation of Decision Alternatives on the Basis of Interval Pairwise Comparison Matrices

N. Pankratova, N. Nedashkovskaya
{"title":"Estimation of Decision Alternatives on the Basis of Interval Pairwise Comparison Matrices","authors":"N. Pankratova, N. Nedashkovskaya","doi":"10.4236/ICA.2016.72005","DOIUrl":null,"url":null,"abstract":"This paper deals with the calculation of a vector of reliable weights of decision \nalternatives on the basis of interval pairwise comparison judgments of experts. \nThese weights are used to construct the ranking of decision alternatives and to \nsolve selection problems, problems of ratings construction, resources allocation \nproblems, scenarios evaluation problems, and other decision making problems. A \ncomparative analysis of several popular models, which calculate interval \nweights on the basis of interval pairwise comparison matrices (IPCMs), was \nperformed. The features of these models when they are applied to IPCMs with \ndifferent inconsistency levels were identified. An algorithm is proposed which \ncontains the stages for analyzing and increasing the IPCM inconsistency, \ncalculating normalized interval weights, and calculating the ranking of \ndecision alternatives on the basis of the resulting interval weights. It was \nfound that the property of weak order preservation usually allowed identifying \norder-related intransitive expert pairwise comparison judgments. The correction \nof these elements leads to the removal of contradictions in resulting weights \nand increases the accuracy and reliability of results.","PeriodicalId":62904,"journal":{"name":"智能控制与自动化(英文)","volume":"07 1","pages":"39-54"},"PeriodicalIF":0.0000,"publicationDate":"2016-05-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"智能控制与自动化(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/ICA.2016.72005","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 7

Abstract

This paper deals with the calculation of a vector of reliable weights of decision alternatives on the basis of interval pairwise comparison judgments of experts. These weights are used to construct the ranking of decision alternatives and to solve selection problems, problems of ratings construction, resources allocation problems, scenarios evaluation problems, and other decision making problems. A comparative analysis of several popular models, which calculate interval weights on the basis of interval pairwise comparison matrices (IPCMs), was performed. The features of these models when they are applied to IPCMs with different inconsistency levels were identified. An algorithm is proposed which contains the stages for analyzing and increasing the IPCM inconsistency, calculating normalized interval weights, and calculating the ranking of decision alternatives on the basis of the resulting interval weights. It was found that the property of weak order preservation usually allowed identifying order-related intransitive expert pairwise comparison judgments. The correction of these elements leads to the removal of contradictions in resulting weights and increases the accuracy and reliability of results.
基于区间两两比较矩阵的决策方案估计
本文研究了基于专家区间两两比较判断的决策方案可靠权重向量的计算。这些权重用于构建决策选项的排序,并用于解决选择问题、评级构建问题、资源分配问题、场景评估问题和其他决策问题。对基于区间两两比较矩阵(IPCMs)计算区间权重的几种常用模型进行了比较分析。确定了这些模型应用于不同不一致程度的ipcm时的特征。提出了一种包含分析和增加IPCM不一致性、计算归一化区间权值和根据区间权值计算决策方案排序的算法。研究发现,弱顺序保持特性通常允许识别与顺序相关的不及物专家两两比较判断。对这些因素的修正可以消除所得到的权重的矛盾,并提高结果的准确性和可靠性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
自引率
0.00%
发文量
243
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信