{"title":"基于Molodtsov模型的软拓扑概念","authors":"A.A. Nasef, A.I. Aggour, A. Fathy, S.M. Darwesh","doi":"10.58675/2636-3305.1648","DOIUrl":null,"url":null,"abstract":"In the present paper, we introduce a new concept of soft sets called soft $g(\\beta,\\omega)$-closed sets. Also, we study the basic properties of this new concept and we investigate the relation between soft $g(\\beta,\\omega)$-closed sets and some of the other soft sets. Finally, we introduce the concept of soft $g(\\beta,\\omega)$- continuous map and we study the relationship between the new concept and some of the other types of soft continuity.","PeriodicalId":7687,"journal":{"name":"Al-Azhar Bulletin of Science","volume":"2013 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Soft Topological Notions Via Molodtsov Model\",\"authors\":\"A.A. Nasef, A.I. Aggour, A. Fathy, S.M. Darwesh\",\"doi\":\"10.58675/2636-3305.1648\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the present paper, we introduce a new concept of soft sets called soft $g(\\\\beta,\\\\omega)$-closed sets. Also, we study the basic properties of this new concept and we investigate the relation between soft $g(\\\\beta,\\\\omega)$-closed sets and some of the other soft sets. Finally, we introduce the concept of soft $g(\\\\beta,\\\\omega)$- continuous map and we study the relationship between the new concept and some of the other types of soft continuity.\",\"PeriodicalId\":7687,\"journal\":{\"name\":\"Al-Azhar Bulletin of Science\",\"volume\":\"2013 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Al-Azhar Bulletin of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.58675/2636-3305.1648\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Al-Azhar Bulletin of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.58675/2636-3305.1648","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In the present paper, we introduce a new concept of soft sets called soft $g(\beta,\omega)$-closed sets. Also, we study the basic properties of this new concept and we investigate the relation between soft $g(\beta,\omega)$-closed sets and some of the other soft sets. Finally, we introduce the concept of soft $g(\beta,\omega)$- continuous map and we study the relationship between the new concept and some of the other types of soft continuity.
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