{"title":"Rough 3-valued Lukasiewicz algebras and BCI-algebras","authors":"Jianhua Dai","doi":"10.1109/GRC.2009.5255151","DOIUrl":null,"url":null,"abstract":"The collection of all the rough sets of an approximation space can be made into a 3-valued Lukasiewicz algebra called rough 3-valued Lukasiewcz algebras. BCI-algebras and BCK-algebras are two important classes of logical algebras. In this paper, it is shown that a rough 3-valued Lukasiewicz algebra is a BCI-algebra and a BCK-algebra. The direct relation between rough set theory and BCI-algebras/BCK-algebras is constructed. The definition of rough BCI-algebras and rough BCK-algebras are also given.","PeriodicalId":388774,"journal":{"name":"2009 IEEE International Conference on Granular Computing","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 IEEE International Conference on Granular Computing","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/GRC.2009.5255151","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 collection of all the rough sets of an approximation space can be made into a 3-valued Lukasiewicz algebra called rough 3-valued Lukasiewcz algebras. BCI-algebras and BCK-algebras are two important classes of logical algebras. In this paper, it is shown that a rough 3-valued Lukasiewicz algebra is a BCI-algebra and a BCK-algebra. The direct relation between rough set theory and BCI-algebras/BCK-algebras is constructed. The definition of rough BCI-algebras and rough BCK-algebras are also given.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
