{"title":"关于t范数合并的完全剩余多值逻辑","authors":"F. Esteva, L. Godo","doi":"10.1109/ISMVL.2001.924558","DOIUrl":null,"url":null,"abstract":"In this paper we summarize recent results, both logical and algebraic, about [0,1]-valued logical systems having a t-norm and its residuum as truth functions for conjunction and implication. We describe their axiomatic systems and their algebraic varieties, and we stress that the most general variety generated by residuated structures in [0, 1] defined by (left-continuous) t-norms is the variety of pre-linear residuated lattices.","PeriodicalId":297353,"journal":{"name":"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic","volume":"112 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":"{\"title\":\"On complete residuated many-valued logics with t-norm conjunction\",\"authors\":\"F. Esteva, L. Godo\",\"doi\":\"10.1109/ISMVL.2001.924558\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we summarize recent results, both logical and algebraic, about [0,1]-valued logical systems having a t-norm and its residuum as truth functions for conjunction and implication. We describe their axiomatic systems and their algebraic varieties, and we stress that the most general variety generated by residuated structures in [0, 1] defined by (left-continuous) t-norms is the variety of pre-linear residuated lattices.\",\"PeriodicalId\":297353,\"journal\":{\"name\":\"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic\",\"volume\":\"112 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-05-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"13\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ISMVL.2001.924558\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 31st IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2001.924558","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On complete residuated many-valued logics with t-norm conjunction
In this paper we summarize recent results, both logical and algebraic, about [0,1]-valued logical systems having a t-norm and its residuum as truth functions for conjunction and implication. We describe their axiomatic systems and their algebraic varieties, and we stress that the most general variety generated by residuated structures in [0, 1] defined by (left-continuous) t-norms is the variety of pre-linear residuated lattices.
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