{"title":"Some results on the relationships between transitivity-related indicators of fuzzy relations","authors":"Caiping Wu, Liming Wang","doi":"10.1109/URKE.2012.6319554","DOIUrl":null,"url":null,"abstract":"In this paper, first we redefine a asymmetry indicator of fuzzy relations. Meanwhile, we present the degree description of a condition proposed by Peng et al. Then we mainly investigate the relationships between some transitivity-related indicators, particularly between those of T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. With our research, some work done by Fodor and Peng et al. are extended to the degree description.","PeriodicalId":277189,"journal":{"name":"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering","volume":"180 ","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/URKE.2012.6319554","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this paper, first we redefine a asymmetry indicator of fuzzy relations. Meanwhile, we present the degree description of a condition proposed by Peng et al. Then we mainly investigate the relationships between some transitivity-related indicators, particularly between those of T-transitivity, negative S-transitivity, T-S-semitransitivity and T-S-Ferrers property. With our research, some work done by Fodor and Peng et al. are extended to the degree description.