{"title":"Ranking of trapezoidal intuitionistic fuzzy numbers","authors":"P. K. De, Debaroti Das","doi":"10.1109/ISDA.2012.6416534","DOIUrl":null,"url":null,"abstract":"Techniques for ranking simple fuzzy numbers are abundant in nature. However, we lack effective methods for ranking intuitionistic fuzzy numbers(IFN). The aim of this paper is to introduce a new ranking procedure for trapezoidal intuitionistic fuzzy number(TRIFN). To serve the purpose, the value and ambiguity index of TRIFNs have been defined. In order to rank TRIFNs, we have defined a ranking function by taking sum of value and ambiguity index. To illustrate the the proposed ranking method a numerical example has been given.","PeriodicalId":370150,"journal":{"name":"2012 12th International Conference on Intelligent Systems Design and Applications (ISDA)","volume":"83 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"34","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 12th International Conference on Intelligent Systems Design and Applications (ISDA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISDA.2012.6416534","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 34
Abstract
Techniques for ranking simple fuzzy numbers are abundant in nature. However, we lack effective methods for ranking intuitionistic fuzzy numbers(IFN). The aim of this paper is to introduce a new ranking procedure for trapezoidal intuitionistic fuzzy number(TRIFN). To serve the purpose, the value and ambiguity index of TRIFNs have been defined. In order to rank TRIFNs, we have defined a ranking function by taking sum of value and ambiguity index. To illustrate the the proposed ranking method a numerical example has been given.
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