{"title":"关于类群fl -代数","authors":"S. Jenei","doi":"10.1109/FUZZ-IEEE.2015.7337814","DOIUrl":null,"url":null,"abstract":"The classification of absorbent-continuous, order-dense group-like FLe-chains is presented in this paper: Every such algebra can be described as the twin rotation of a certain BL-algebra and its de Morgan dual. This theorem not only largely generalizes the corresponding main theorem of [18] but also the complexity and length of its proof is significantly reduced.","PeriodicalId":185191,"journal":{"name":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","volume":"15 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On group-like FLe-algebras\",\"authors\":\"S. Jenei\",\"doi\":\"10.1109/FUZZ-IEEE.2015.7337814\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The classification of absorbent-continuous, order-dense group-like FLe-chains is presented in this paper: Every such algebra can be described as the twin rotation of a certain BL-algebra and its de Morgan dual. This theorem not only largely generalizes the corresponding main theorem of [18] but also the complexity and length of its proof is significantly reduced.\",\"PeriodicalId\":185191,\"journal\":{\"name\":\"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)\",\"volume\":\"15 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-11-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/FUZZ-IEEE.2015.7337814\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2015 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FUZZ-IEEE.2015.7337814","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The classification of absorbent-continuous, order-dense group-like FLe-chains is presented in this paper: Every such algebra can be described as the twin rotation of a certain BL-algebra and its de Morgan dual. This theorem not only largely generalizes the corresponding main theorem of [18] but also the complexity and length of its proof is significantly reduced.