{"title":"论软集引起的软提升和软变换-(二)","authors":"W. Min, Young Key Kim","doi":"10.12988/IJMA.2016.618","DOIUrl":null,"url":null,"abstract":"We introduced the notion of monotonic operation uF : P (X) → P (X) induced by AF , F ← in any soft set (F,X) (A ⊆ X) in [13]. In this paper, we also introduce the notions of soft lift and soft transformation induced by F←. We investigate properties for the notions. In particular, Theorem 3.14 and Theorem 3.15 are obtained. AMS Subject Classification: 94D05, 94D99, 03E70, 03E72","PeriodicalId":431531,"journal":{"name":"International Journal of Mathematical Analysis","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On soft lifts and soft transformations induced by soft sets-(II)\",\"authors\":\"W. Min, Young Key Kim\",\"doi\":\"10.12988/IJMA.2016.618\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We introduced the notion of monotonic operation uF : P (X) → P (X) induced by AF , F ← in any soft set (F,X) (A ⊆ X) in [13]. In this paper, we also introduce the notions of soft lift and soft transformation induced by F←. We investigate properties for the notions. In particular, Theorem 3.14 and Theorem 3.15 are obtained. AMS Subject Classification: 94D05, 94D99, 03E70, 03E72\",\"PeriodicalId\":431531,\"journal\":{\"name\":\"International Journal of Mathematical Analysis\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Mathematical Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12988/IJMA.2016.618\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Mathematical Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12988/IJMA.2016.618","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
我们在[13]中引入了由AF、F←在任意软集(F,X) (A,X)中导出的单调运算uF: P (X)→P (X)的概念。本文还引入了F←引起的软升力和软变换的概念。我们研究这些概念的性质。特别是得到了定理3.14和定理3.15。AMS学科分类:94D05, 94D99, 03E70, 03E72
On soft lifts and soft transformations induced by soft sets-(II)
We introduced the notion of monotonic operation uF : P (X) → P (X) induced by AF , F ← in any soft set (F,X) (A ⊆ X) in [13]. In this paper, we also introduce the notions of soft lift and soft transformation induced by F←. We investigate properties for the notions. In particular, Theorem 3.14 and Theorem 3.15 are obtained. AMS Subject Classification: 94D05, 94D99, 03E70, 03E72