{"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":" 89","pages":"0"},"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}
引用次数: 0
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.
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