{"title":"三参数区间值模糊集的TOPSIS决策方法","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":"29 5","pages":"Pages 129-136"},"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":"{\"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\":\"29 5\",\"pages\":\"Pages 129-136\"},\"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}","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}
TOPSIS Decision-Making Method for Three Parameters Interval-Valued Fuzzy Sets
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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