{"title":"A comparison index for interval ordering","authors":"Maria Letizia Guerra, Luciano Stefanini","doi":"10.1109/FOCI.2011.5949477","DOIUrl":null,"url":null,"abstract":"The comparison of intervals, following several order relations, is relevant in interval linear programming methods to solve many real-life problems. The determination of coefficients as crisp values is practically impossible in reality, where data sources are often uncertain, vague and incomplete. The uncertainty can be modelled with coefficients that vary in intervals, making possible as decision making process that is common in the areas of soft sciences like social science, economics, finance and management studies. To help comparison of intervals according to different relevant order relations, a general comparison index is proposed and some properties are illustrated.","PeriodicalId":106271,"journal":{"name":"2011 IEEE Symposium on Foundations of Computational Intelligence (FOCI)","volume":"71 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 IEEE Symposium on Foundations of Computational Intelligence (FOCI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FOCI.2011.5949477","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 9
Abstract
The comparison of intervals, following several order relations, is relevant in interval linear programming methods to solve many real-life problems. The determination of coefficients as crisp values is practically impossible in reality, where data sources are often uncertain, vague and incomplete. The uncertainty can be modelled with coefficients that vary in intervals, making possible as decision making process that is common in the areas of soft sciences like social science, economics, finance and management studies. To help comparison of intervals according to different relevant order relations, a general comparison index is proposed and some properties are illustrated.
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