{"title":"l -模糊覆盖粗糙集的进一步研究","authors":"Yao-liang Xu, Dan-dan Zou, LingYue Li","doi":"10.22457/jmi.v22a05208","DOIUrl":null,"url":null,"abstract":"For L L = ∗ → ( , , ) a complete residuated lattice, a type of L -fuzzy covering rough sets was defined by Li [8] in 2017. In this paper, a further study on rough sets was given. Precisely, a single axiomatic characterization of the L -fuzzy covering rough sets was presented, and the relationships between the -fuzzy covering rough sets and L -fuzzy relation rough sets were established.","PeriodicalId":43016,"journal":{"name":"Journal of Applied Mathematics Statistics and Informatics","volume":"1 1","pages":""},"PeriodicalIF":0.3000,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Further Study on L-Fuzzy Covering Rough Sets\",\"authors\":\"Yao-liang Xu, Dan-dan Zou, LingYue Li\",\"doi\":\"10.22457/jmi.v22a05208\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For L L = ∗ → ( , , ) a complete residuated lattice, a type of L -fuzzy covering rough sets was defined by Li [8] in 2017. In this paper, a further study on rough sets was given. Precisely, a single axiomatic characterization of the L -fuzzy covering rough sets was presented, and the relationships between the -fuzzy covering rough sets and L -fuzzy relation rough sets were established.\",\"PeriodicalId\":43016,\"journal\":{\"name\":\"Journal of Applied Mathematics Statistics and Informatics\",\"volume\":\"1 1\",\"pages\":\"\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2022-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Applied Mathematics Statistics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22457/jmi.v22a05208\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Mathematics Statistics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22457/jmi.v22a05208","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
对于L L =∗→(，，)完全剩馀格，Li[8]在2017年定义了一类L -模糊覆盖粗糙集。本文对粗糙集进行了进一步的研究。准确地说，给出了L -模糊覆盖粗糙集的单一公理化表征，并建立了-模糊覆盖粗糙集与L -模糊关系粗糙集之间的关系。
For L L = ∗ → ( , , ) a complete residuated lattice, a type of L -fuzzy covering rough sets was defined by Li [8] in 2017. In this paper, a further study on rough sets was given. Precisely, a single axiomatic characterization of the L -fuzzy covering rough sets was presented, and the relationships between the -fuzzy covering rough sets and L -fuzzy relation rough sets were established.
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