{"title":"UP 架构的本质隐含 UP 滤波器和 t-本质模糊隐含 UP 滤波器","authors":"T. Gaketem","doi":"10.28924/2291-8639-21-2023-123","DOIUrl":null,"url":null,"abstract":"For the purpose of this research, we give the new concept of essential implicative UPfilter from the concept of essential UP-filters in UP-algebras. Although we know that the concept of implicative UP-filters is UP-filters, we have an example showing that the concept of essential UPfilters does not necessarily be essential implicative UP-filters. After that, we extend the concept of essential implicative UP-filters to t-essential fuzzy implicative UP-filters of UP-algebras and study their relationship based on characteristic functions and upper level subsets.","PeriodicalId":45204,"journal":{"name":"International Journal of Analysis and Applications","volume":"86 1-2","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-11-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Essential Implicative UP-Filters and t-Essential Fuzzy Implicative UP-Filters of UP-Algebras\",\"authors\":\"T. Gaketem\",\"doi\":\"10.28924/2291-8639-21-2023-123\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For the purpose of this research, we give the new concept of essential implicative UPfilter from the concept of essential UP-filters in UP-algebras. Although we know that the concept of implicative UP-filters is UP-filters, we have an example showing that the concept of essential UPfilters does not necessarily be essential implicative UP-filters. After that, we extend the concept of essential implicative UP-filters to t-essential fuzzy implicative UP-filters of UP-algebras and study their relationship based on characteristic functions and upper level subsets.\",\"PeriodicalId\":45204,\"journal\":{\"name\":\"International Journal of Analysis and Applications\",\"volume\":\"86 1-2\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-11-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Analysis and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.28924/2291-8639-21-2023-123\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Analysis and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.28924/2291-8639-21-2023-123","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
为了本研究的目的,我们从 UP 架构中的本质蕴涵式 UP 滤波器概念出发,给出了本质蕴涵式 UP 滤波器这一新概念。虽然我们知道蕴涵式 UP 滤波器的概念是 UP 滤波器,但我们有一个例子说明本质 UP 滤波器的概念不一定是本质蕴涵式 UP 滤波器。之后,我们将本质蕴涵型 UP 滤波器的概念扩展到 UP 架构的 t-本质模糊蕴涵型 UP 滤波器,并基于特征函数和上层子集研究它们之间的关系。
Essential Implicative UP-Filters and t-Essential Fuzzy Implicative UP-Filters of UP-Algebras
For the purpose of this research, we give the new concept of essential implicative UPfilter from the concept of essential UP-filters in UP-algebras. Although we know that the concept of implicative UP-filters is UP-filters, we have an example showing that the concept of essential UPfilters does not necessarily be essential implicative UP-filters. After that, we extend the concept of essential implicative UP-filters to t-essential fuzzy implicative UP-filters of UP-algebras and study their relationship based on characteristic functions and upper level subsets.