{"title":"TOPSIS Decision-Making Method for Three Parameters Interval-Valued Fuzzy Sets","authors":"LAN Rong , FAN Jiu-lun","doi":"10.1016/S1874-8651(10)60045-2","DOIUrl":null,"url":null,"abstract":"<div><p>Considering the important role of representation element in an interval-valued fuzzy set for decision analysis, the concepts of three parameters interval-valued fuzzy set and three parameters interval-valued fuzzy value are proposed, and some operators on three parameters interval-valued fuzzy values are given, and a new distance between three parameters interval-valued fuzzy values is defined. Based on the proposed distance, a TOPSIS decision-making method is shown for a multicriteria decision-making model on three parameters interval-valued fuzzy sets. Finally, a practical example is provided to illustrate the method's effectiveness.</p></div>","PeriodicalId":101206,"journal":{"name":"Systems Engineering - Theory & Practice","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2009-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1874-8651(10)60045-2","citationCount":"16","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Systems Engineering - Theory & Practice","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1874865110600452","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 16
Abstract
Considering the important role of representation element in an interval-valued fuzzy set for decision analysis, the concepts of three parameters interval-valued fuzzy set and three parameters interval-valued fuzzy value are proposed, and some operators on three parameters interval-valued fuzzy values are given, and a new distance between three parameters interval-valued fuzzy values is defined. Based on the proposed distance, a TOPSIS decision-making method is shown for a multicriteria decision-making model on three parameters interval-valued fuzzy sets. Finally, a practical example is provided to illustrate the method's effectiveness.
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