{"title":"基于方式下关系的模糊预均匀结构","authors":"O. R. Sayed, M. A. Abd-Allah, O. G. Hammad","doi":"10.21608/aunj.2020.220874","DOIUrl":null,"url":null,"abstract":"In this paper, a preuniform structure based on way below relation (or L-fuzzifying preuniform structure) was defined and their properties were studied. Also, the concept of interior and closure operators in the L-fuzzifying setting were established. Furthermore, the relation between L-fuzzifying preuniform and L-fuzzifying topological spaces were explained. Finally, the continuity of L-fuzzifying preuniform spaces was studied.","PeriodicalId":8568,"journal":{"name":"Assiut University Journal of Multidisciplinary Scientific Research","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2020-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"FUZZY PREUNIFORM STRUCTURE BASED ON WAY BELOW RELATION\",\"authors\":\"O. R. Sayed, M. A. Abd-Allah, O. G. Hammad\",\"doi\":\"10.21608/aunj.2020.220874\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, a preuniform structure based on way below relation (or L-fuzzifying preuniform structure) was defined and their properties were studied. Also, the concept of interior and closure operators in the L-fuzzifying setting were established. Furthermore, the relation between L-fuzzifying preuniform and L-fuzzifying topological spaces were explained. Finally, the continuity of L-fuzzifying preuniform spaces was studied.\",\"PeriodicalId\":8568,\"journal\":{\"name\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Assiut University Journal of Multidisciplinary Scientific Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.21608/aunj.2020.220874\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Assiut University Journal of Multidisciplinary Scientific Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.21608/aunj.2020.220874","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
FUZZY PREUNIFORM STRUCTURE BASED ON WAY BELOW RELATION
In this paper, a preuniform structure based on way below relation (or L-fuzzifying preuniform structure) was defined and their properties were studied. Also, the concept of interior and closure operators in the L-fuzzifying setting were established. Furthermore, the relation between L-fuzzifying preuniform and L-fuzzifying topological spaces were explained. Finally, the continuity of L-fuzzifying preuniform spaces was studied.
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