{"title":"有界容差序类的层次结构","authors":"G. Isaak, Kathryn L. Nyman, Ann N. Trenk","doi":"10.1017/CBO9780511542985.012","DOIUrl":null,"url":null,"abstract":"In this paper we extend the work of Bogart and Trenk [3] and Fishburn and Trotter [6] in studying different classes of bitolerance orders. We provide a more comprehensive list of classes of bitolerance orders and prove equality between some of these classes in general and other classes in the bipartite domain. We also provide separating examples between unequal classes of bitolerance orders.","PeriodicalId":378960,"journal":{"name":"Ars Comb.","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"11","resultStr":"{\"title\":\"A Hierarchy of Classes of Bounded Bitolerance Orders\",\"authors\":\"G. Isaak, Kathryn L. Nyman, Ann N. Trenk\",\"doi\":\"10.1017/CBO9780511542985.012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we extend the work of Bogart and Trenk [3] and Fishburn and Trotter [6] in studying different classes of bitolerance orders. We provide a more comprehensive list of classes of bitolerance orders and prove equality between some of these classes in general and other classes in the bipartite domain. We also provide separating examples between unequal classes of bitolerance orders.\",\"PeriodicalId\":378960,\"journal\":{\"name\":\"Ars Comb.\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"11\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Ars Comb.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1017/CBO9780511542985.012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Comb.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1017/CBO9780511542985.012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 11
摘要
本文推广了Bogart and Trenk[3]和Fishburn and Trotter[6]对不同种类的容差阶的研究。我们提供了一个更全面的双容序类列表,并证明了其中一些类在一般情况下与其他类在二部域上是相等的。我们还提供了不相等的双容序类之间的分离例子。
A Hierarchy of Classes of Bounded Bitolerance Orders
In this paper we extend the work of Bogart and Trenk [3] and Fishburn and Trotter [6] in studying different classes of bitolerance orders. We provide a more comprehensive list of classes of bitolerance orders and prove equality between some of these classes in general and other classes in the bipartite domain. We also provide separating examples between unequal classes of bitolerance orders.