Juan Carlos Figueroa–García, José Jairo Soriano-Mendez, Miguel Alberto Melgarejo-Rey
{"title":"On the variance of a fuzzy number based on the Yager index","authors":"Juan Carlos Figueroa–García, José Jairo Soriano-Mendez, Miguel Alberto Melgarejo-Rey","doi":"10.1109/COLCACI.2018.8484860","DOIUrl":null,"url":null,"abstract":"This paper presents a proposal for computing the variance of a fuzzy number based on the Yager index for convex fuzzy sets. We compare the proposal to the sample variance (based on α-cuts) to see its behavior over triangular, trapezoidal and Gaussian fuzzy numbers. Some considerations about the obtained results are provided and some recommendations are given.","PeriodicalId":138992,"journal":{"name":"2018 IEEE 1st Colombian Conference on Applications in Computational Intelligence (ColCACI)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2018 IEEE 1st Colombian Conference on Applications in Computational Intelligence (ColCACI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/COLCACI.2018.8484860","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This paper presents a proposal for computing the variance of a fuzzy number based on the Yager index for convex fuzzy sets. We compare the proposal to the sample variance (based on α-cuts) to see its behavior over triangular, trapezoidal and Gaussian fuzzy numbers. Some considerations about the obtained results are provided and some recommendations are given.