Sheffer冲程bl -代数的(模糊)滤波器

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2023-01-01 DOI:10.46793/kgjmat2301.039o

T. Oner, T. Katican, A. Borumand Saeid

{"title":"Sheffer冲程bl -代数的(模糊)滤波器","authors":"T. Oner, T. Katican, A. Borumand Saeid","doi":"10.46793/kgjmat2301.039o","DOIUrl":null,"url":null,"abstract":"In this study, some (fuzzy) ﬁlters of a Sheﬀer stroke BL-algebra and its properties are presented. To show a relationship between a ﬁlter and a fuzzy ﬁlter of Sheﬀer stroke BL-algebra, we prove that f is a fuzzy (ultra) ﬁlter of C if and only if fp is either empty or a (ultra) ﬁlter of C for each p ∈ [0, 1], and it is satisﬁed for p = f(1) and for the characteristic function of a nonempty subset of a Sheﬀer stroke BL-algebra.","PeriodicalId":44902,"journal":{"name":"Kragujevac Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"8","resultStr":"{\"title\":\"(Fuzzy) Filters of Sheffer Stroke BL-Algebras\",\"authors\":\"T. Oner, T. Katican, A. Borumand Saeid\",\"doi\":\"10.46793/kgjmat2301.039o\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this study, some (fuzzy) ﬁlters of a Sheﬀer stroke BL-algebra and its properties are presented. To show a relationship between a ﬁlter and a fuzzy ﬁlter of Sheﬀer stroke BL-algebra, we prove that f is a fuzzy (ultra) ﬁlter of C if and only if fp is either empty or a (ultra) ﬁlter of C for each p ∈ [0, 1], and it is satisﬁed for p = f(1) and for the characteristic function of a nonempty subset of a Sheﬀer stroke BL-algebra.\",\"PeriodicalId\":44902,\"journal\":{\"name\":\"Kragujevac Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"8\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Kragujevac Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46793/kgjmat2301.039o\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Kragujevac Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46793/kgjmat2301.039o","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 8

摘要

本文研究了Sheffer冲程bl -代数的一些(模糊)滤波器及其性质。为了证明滤波与Sheffer冲程bl -代数的模糊滤波之间的关系，我们证明了f是C的模糊(超)滤波器当且仅当p∈[0,1]为空或C的(超)滤波器，并且满足p = f(1)和Sheffer冲程bl -代数的非空子集的特征函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

(Fuzzy) Filters of Sheffer Stroke BL-Algebras

In this study, some (fuzzy) ﬁlters of a Sheﬀer stroke BL-algebra and its properties are presented. To show a relationship between a ﬁlter and a fuzzy ﬁlter of Sheﬀer stroke BL-algebra, we prove that f is a fuzzy (ultra) ﬁlter of C if and only if fp is either empty or a (ultra) ﬁlter of C for each p ∈ [0, 1], and it is satisﬁed for p = f(1) and for the characteristic function of a nonempty subset of a Sheﬀer stroke BL-algebra.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊