{"title":"中性软δ -拓扑和中性软致密性","authors":"A. Acikgoz, F. Esenbel","doi":"10.1063/1.5136106","DOIUrl":null,"url":null,"abstract":"We introduce the concepts of neutrosophic soft δ−interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft δ−closure, neutrosophic soft θ−closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft δ−open sets is a neutrosophic soft topology, which is called the neutrosophic soft δ−topology. We obtain equivalent forms of neutrosophic soft δ−continuity. Moreover, the notions of neutrosophic soft δ−compactness and neutrosophic soft locally δ−compactness are defined and their basic properties under neutrosophic soft δ−continuous mappings are investigated.","PeriodicalId":175596,"journal":{"name":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","volume":"229 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Neutrosophic soft δ–topology and neutrosophic soft compactness\",\"authors\":\"A. Acikgoz, F. Esenbel\",\"doi\":\"10.1063/1.5136106\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduce the concepts of neutrosophic soft δ−interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft δ−closure, neutrosophic soft θ−closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft δ−open sets is a neutrosophic soft topology, which is called the neutrosophic soft δ−topology. We obtain equivalent forms of neutrosophic soft δ−continuity. Moreover, the notions of neutrosophic soft δ−compactness and neutrosophic soft locally δ−compactness are defined and their basic properties under neutrosophic soft δ−continuous mappings are investigated.\",\"PeriodicalId\":175596,\"journal\":{\"name\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"volume\":\"229 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1063/1.5136106\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"THIRD INTERNATIONAL CONFERENCE OF MATHEMATICAL SCIENCES (ICMS 2019)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1063/1.5136106","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Neutrosophic soft δ–topology and neutrosophic soft compactness
We introduce the concepts of neutrosophic soft δ−interior, neutrosophic soft quasi-coincidence, neutrosophic soft q-neighbourhood, neutrosophic soft regular open set, neutrosophic soft δ−closure, neutrosophic soft θ−closure and neutrosophic soft semi open set. It is also shown that the set of all neutrosophic soft δ−open sets is a neutrosophic soft topology, which is called the neutrosophic soft δ−topology. We obtain equivalent forms of neutrosophic soft δ−continuity. Moreover, the notions of neutrosophic soft δ−compactness and neutrosophic soft locally δ−compactness are defined and their basic properties under neutrosophic soft δ−continuous mappings are investigated.