{"title":"模糊图中相似度和连通性指标的数学分析","authors":"H. Uesu, E. Tsuda, H. Yamashita","doi":"10.1109/NAFIPS.2003.1226759","DOIUrl":null,"url":null,"abstract":"We often represent the inexact phenomena regarding mental process and cognition as fuzzy graphs. If we investigate the cluster and the order of the nodes in the fuzzy graph, we have a lot of interesting results. For this purpose we define the similarity Index and the connectivity Index. In this paper, we would discuss the definition of the indices and its properties.","PeriodicalId":153530,"journal":{"name":"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003","volume":"40 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Mathematical analysis of similarity index and connectivity index in fuzzy graph\",\"authors\":\"H. Uesu, E. Tsuda, H. Yamashita\",\"doi\":\"10.1109/NAFIPS.2003.1226759\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We often represent the inexact phenomena regarding mental process and cognition as fuzzy graphs. If we investigate the cluster and the order of the nodes in the fuzzy graph, we have a lot of interesting results. For this purpose we define the similarity Index and the connectivity Index. In this paper, we would discuss the definition of the indices and its properties.\",\"PeriodicalId\":153530,\"journal\":{\"name\":\"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003\",\"volume\":\"40 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-07-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/NAFIPS.2003.1226759\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"22nd International Conference of the North American Fuzzy Information Processing Society, NAFIPS 2003","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/NAFIPS.2003.1226759","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Mathematical analysis of similarity index and connectivity index in fuzzy graph
We often represent the inexact phenomena regarding mental process and cognition as fuzzy graphs. If we investigate the cluster and the order of the nodes in the fuzzy graph, we have a lot of interesting results. For this purpose we define the similarity Index and the connectivity Index. In this paper, we would discuss the definition of the indices and its properties.