{"title":"直到同构为止的连续 t-norms 分类的复杂性","authors":"Jialiang He, Lili Shen, Yi Zhou","doi":"arxiv-2408.16456","DOIUrl":null,"url":null,"abstract":"It is shown that the isomorphism relation between continuous t-norms is Borel\nbireducible with the relation of order isomorphism between linear orders on the\nset of natural numbers, and therefore, it is Borel bireducible with every Borel\ncomplete equivalence relation.","PeriodicalId":501306,"journal":{"name":"arXiv - MATH - Logic","volume":"32 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The complexity of classifying continuous t-norms up to isomorphism\",\"authors\":\"Jialiang He, Lili Shen, Yi Zhou\",\"doi\":\"arxiv-2408.16456\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"It is shown that the isomorphism relation between continuous t-norms is Borel\\nbireducible with the relation of order isomorphism between linear orders on the\\nset of natural numbers, and therefore, it is Borel bireducible with every Borel\\ncomplete equivalence relation.\",\"PeriodicalId\":501306,\"journal\":{\"name\":\"arXiv - MATH - Logic\",\"volume\":\"32 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-08-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2408.16456\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2408.16456","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The complexity of classifying continuous t-norms up to isomorphism
It is shown that the isomorphism relation between continuous t-norms is Borel
bireducible with the relation of order isomorphism between linear orders on the
set of natural numbers, and therefore, it is Borel bireducible with every Borel
complete equivalence relation.
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