{"title":"关于互[0,1]值关系的传递闭包","authors":"Steven Freson, H. Meyer, B. Baets","doi":"10.2991/eusflat.2011.113","DOIUrl":null,"url":null,"abstract":"We build a theoretical framework that enables to extend the concept of transitive closure to the class of complete crisp relations, the class of reciprocal 3-valued relations and the class of reciprocal [0, 1]valued relations. We present algorithms to compute the transitive closure of reciprocal [0, 1]-valued relations, where the type of transitivity is either weak stochastic transitivity or strong stochastic transitivity.","PeriodicalId":403191,"journal":{"name":"EUSFLAT Conf.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the transitive closure of reciprocal [0, 1]-valued relations\",\"authors\":\"Steven Freson, H. Meyer, B. Baets\",\"doi\":\"10.2991/eusflat.2011.113\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We build a theoretical framework that enables to extend the concept of transitive closure to the class of complete crisp relations, the class of reciprocal 3-valued relations and the class of reciprocal [0, 1]valued relations. We present algorithms to compute the transitive closure of reciprocal [0, 1]-valued relations, where the type of transitivity is either weak stochastic transitivity or strong stochastic transitivity.\",\"PeriodicalId\":403191,\"journal\":{\"name\":\"EUSFLAT Conf.\",\"volume\":\"16 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2011-08-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"EUSFLAT Conf.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/eusflat.2011.113\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"EUSFLAT Conf.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/eusflat.2011.113","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the transitive closure of reciprocal [0, 1]-valued relations
We build a theoretical framework that enables to extend the concept of transitive closure to the class of complete crisp relations, the class of reciprocal 3-valued relations and the class of reciprocal [0, 1]valued relations. We present algorithms to compute the transitive closure of reciprocal [0, 1]-valued relations, where the type of transitivity is either weak stochastic transitivity or strong stochastic transitivity.