{"title":"可测量软集","authors":"A. Mukherjee, A. Saha, A. Das","doi":"10.12816/0023170","DOIUrl":null,"url":null,"abstract":"The soft set is a mapping from a parameter to the crisp subset of universe. Molodtsov introduced the concept of soft sets as a generalized tool for modeling complex systems involving uncertain or not clearly defined objects. In this paper the concept of measurable soft sets are introduced and their properties are discussed. The open problem of this paper is to develop measurable functions and lebesgue integral in soft set theory context.","PeriodicalId":210748,"journal":{"name":"International Journal of Open Problems in Computer Science and Mathematics","volume":"59 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2015-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":"{\"title\":\"Measurable Soft Sets\",\"authors\":\"A. Mukherjee, A. Saha, A. Das\",\"doi\":\"10.12816/0023170\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The soft set is a mapping from a parameter to the crisp subset of universe. Molodtsov introduced the concept of soft sets as a generalized tool for modeling complex systems involving uncertain or not clearly defined objects. In this paper the concept of measurable soft sets are introduced and their properties are discussed. The open problem of this paper is to develop measurable functions and lebesgue integral in soft set theory context.\",\"PeriodicalId\":210748,\"journal\":{\"name\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"volume\":\"59 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"5\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"International Journal of Open Problems in Computer Science and Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.12816/0023170\",\"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 Open Problems in Computer Science and Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.12816/0023170","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The soft set is a mapping from a parameter to the crisp subset of universe. Molodtsov introduced the concept of soft sets as a generalized tool for modeling complex systems involving uncertain or not clearly defined objects. In this paper the concept of measurable soft sets are introduced and their properties are discussed. The open problem of this paper is to develop measurable functions and lebesgue integral in soft set theory context.
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