{"title":"纳米模糊 Z - 开放集及其在纳米模糊拓扑空间中的应用","authors":"P. Rajwade, R. Navalakhe","doi":"10.3329/jsr.v16i1.67470","DOIUrl":null,"url":null,"abstract":"This research aims to define and investigate the properties of Nano fuzzy Z-open explicitly sets defined in Nano fuzzy topological spaces. Also, there is an attempt to define Nano fuzzy Z-closure Nano fuzzy Z-interior in Nano fuzzy topological spaces. The work has grown by incorporating Nano fuzzy δ open sets, Nano fuzzy δ semi-open sets, Nano fuzzy δ semi-open sets, and Nano fuzzy δ pre-open sets. Also, the work has been concluded with a numerical application of the Nano fuzzy score function in the medical field (to check the proper diagnosis of disease and drug combinations given to the patient).","PeriodicalId":16984,"journal":{"name":"JOURNAL OF SCIENTIFIC RESEARCH","volume":"58 2","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nano Fuzzy Z - Open Sets and its Application in Nano Fuzzy Topological Space\",\"authors\":\"P. Rajwade, R. Navalakhe\",\"doi\":\"10.3329/jsr.v16i1.67470\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This research aims to define and investigate the properties of Nano fuzzy Z-open explicitly sets defined in Nano fuzzy topological spaces. Also, there is an attempt to define Nano fuzzy Z-closure Nano fuzzy Z-interior in Nano fuzzy topological spaces. The work has grown by incorporating Nano fuzzy δ open sets, Nano fuzzy δ semi-open sets, Nano fuzzy δ semi-open sets, and Nano fuzzy δ pre-open sets. Also, the work has been concluded with a numerical application of the Nano fuzzy score function in the medical field (to check the proper diagnosis of disease and drug combinations given to the patient).\",\"PeriodicalId\":16984,\"journal\":{\"name\":\"JOURNAL OF SCIENTIFIC RESEARCH\",\"volume\":\"58 2\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"JOURNAL OF SCIENTIFIC RESEARCH\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3329/jsr.v16i1.67470\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF SCIENTIFIC RESEARCH","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3329/jsr.v16i1.67470","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本研究旨在定义和研究纳米模糊拓扑空间中定义的纳米模糊 Z 开明集的性质。此外，还尝试定义纳米模糊拓扑空间中的纳米模糊 Z 闭合纳米模糊 Z 内部。这项工作通过纳入纳米模糊 δ 开放集、纳米模糊 δ 半开放集、纳米模糊 δ 半开放集和纳米模糊 δ 预开放集而得到了发展。此外，工作的最后还介绍了纳米模糊评分函数在医疗领域的数值应用（检查疾病的正确诊断和给病人的药物组合）。
Nano Fuzzy Z - Open Sets and its Application in Nano Fuzzy Topological Space
This research aims to define and investigate the properties of Nano fuzzy Z-open explicitly sets defined in Nano fuzzy topological spaces. Also, there is an attempt to define Nano fuzzy Z-closure Nano fuzzy Z-interior in Nano fuzzy topological spaces. The work has grown by incorporating Nano fuzzy δ open sets, Nano fuzzy δ semi-open sets, Nano fuzzy δ semi-open sets, and Nano fuzzy δ pre-open sets. Also, the work has been concluded with a numerical application of the Nano fuzzy score function in the medical field (to check the proper diagnosis of disease and drug combinations given to the patient).
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