{"title":"Non-commutative hyper residuated lattices and hyper pseudo-BCK algebras","authors":"Xiaohong Zhang, Q. Zhan, Xue-ping Wang","doi":"10.1109/FSKD.2016.7603536","DOIUrl":null,"url":null,"abstract":"The new notion of non-commutative hyper residuated lattice is introduced and some properties are investigated. Moreover, two definitions of hyper pseudo-BCK algebras are discussed, and the following result is proved: every strong non-commuatative hyper residuated lattice can induce a weak hyper pseudo-BCK algebra. Finally, some mistakes in literatures are pointed out.","PeriodicalId":373155,"journal":{"name":"2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","volume":"68 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2016-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/FSKD.2016.7603536","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The new notion of non-commutative hyper residuated lattice is introduced and some properties are investigated. Moreover, two definitions of hyper pseudo-BCK algebras are discussed, and the following result is proved: every strong non-commuatative hyper residuated lattice can induce a weak hyper pseudo-BCK algebra. Finally, some mistakes in literatures are pointed out.
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