{"title":"论l - g滤波器、l -模糊格栅、l -闭包算子和l -模糊拓扑之间的范畴关系","authors":"Merin Jose, Sunil C. Mathew","doi":"10.1142/s1793005723500308","DOIUrl":null,"url":null,"abstract":"This paper studies the categorical relations among [Formula: see text]-G-filters, [Formula: see text]-fuzzy grills and [Formula: see text]-closure operators. The categorical connections between [Formula: see text]-G-filters and [Formula: see text]-fuzzy cotopologies are also investigated and a Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy cotopological spaces is identified.","PeriodicalId":44835,"journal":{"name":"New Mathematics and Natural Computation","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2023-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the categorical relationships among <i>L</i>-G-filters, <i>L</i>-fuzzy grills, <i>L</i>-closure operators and <i>L</i>-fuzzy cotopologies\",\"authors\":\"Merin Jose, Sunil C. Mathew\",\"doi\":\"10.1142/s1793005723500308\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper studies the categorical relations among [Formula: see text]-G-filters, [Formula: see text]-fuzzy grills and [Formula: see text]-closure operators. The categorical connections between [Formula: see text]-G-filters and [Formula: see text]-fuzzy cotopologies are also investigated and a Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy cotopological spaces is identified.\",\"PeriodicalId\":44835,\"journal\":{\"name\":\"New Mathematics and Natural Computation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-11-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"New Mathematics and Natural Computation\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1142/s1793005723500308\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"New Mathematics and Natural Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s1793005723500308","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
引用次数: 0
摘要
本文研究了[公式:见文]- g -过滤器、[公式:见文]-模糊格栅和[公式:见文]-闭包算子之间的范畴关系。本文还研究了[公式:见文]- g滤波器和[公式:见文]-模糊同拓扑之间的范畴联系,并确定了分层[公式:见文]- g滤波器空间和[公式:见文]-模糊同拓扑空间之间的伽罗瓦对应关系。
On the categorical relationships among L-G-filters, L-fuzzy grills, L-closure operators and L-fuzzy cotopologies
This paper studies the categorical relations among [Formula: see text]-G-filters, [Formula: see text]-fuzzy grills and [Formula: see text]-closure operators. The categorical connections between [Formula: see text]-G-filters and [Formula: see text]-fuzzy cotopologies are also investigated and a Galois correspondence between the categories of stratified [Formula: see text]-G-filter spaces and [Formula: see text]-fuzzy cotopological spaces is identified.