{"title":"软双拓扑空间中的弱软分离公理和弱软(1,2)*-D ~ -分离公理","authors":"Sabiha I. Mahmood","doi":"10.22401/JUNS.20.3.20","DOIUrl":null,"url":null,"abstract":"Abstract: \nIn this article we introduce and study new types of soft sets in soft bitopological spaces, namely, soft (1,2)*-difference sets and soft (1,2)*-b-difference sets by using the notion of soft -open sets and soft (1,2)*-b-open sets respectively. Furthermore we use these soft sets to define and study new types of soft separation axioms, namely, soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for which are weaker than soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for respectively. The basic properties and characteristics each of soft (1,2)*-b- -spaces, soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for also have been studied.","PeriodicalId":14922,"journal":{"name":"Journal of Al-Nahrain University-Science","volume":"59 1","pages":"137-148"},"PeriodicalIF":0.0000,"publicationDate":"2017-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Weak Soft Separation Axioms and Weak Soft (1,2)*-D ~ -Separation Axioms in Soft Bitopological Spaces\",\"authors\":\"Sabiha I. Mahmood\",\"doi\":\"10.22401/JUNS.20.3.20\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract: \\nIn this article we introduce and study new types of soft sets in soft bitopological spaces, namely, soft (1,2)*-difference sets and soft (1,2)*-b-difference sets by using the notion of soft -open sets and soft (1,2)*-b-open sets respectively. Furthermore we use these soft sets to define and study new types of soft separation axioms, namely, soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for which are weaker than soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for respectively. The basic properties and characteristics each of soft (1,2)*-b- -spaces, soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for also have been studied.\",\"PeriodicalId\":14922,\"journal\":{\"name\":\"Journal of Al-Nahrain University-Science\",\"volume\":\"59 1\",\"pages\":\"137-148\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Al-Nahrain University-Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22401/JUNS.20.3.20\",\"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 Al-Nahrain University-Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22401/JUNS.20.3.20","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Weak Soft Separation Axioms and Weak Soft (1,2)*-D ~ -Separation Axioms in Soft Bitopological Spaces
Abstract:
In this article we introduce and study new types of soft sets in soft bitopological spaces, namely, soft (1,2)*-difference sets and soft (1,2)*-b-difference sets by using the notion of soft -open sets and soft (1,2)*-b-open sets respectively. Furthermore we use these soft sets to define and study new types of soft separation axioms, namely, soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for which are weaker than soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for respectively. The basic properties and characteristics each of soft (1,2)*-b- -spaces, soft (1,2)*- -spaces and soft (1,2)*-b- -spaces for also have been studied.