{"title":"软集的一些新运算","authors":"Yining Xia, Li Zuhua","doi":"10.1109/URKE.2012.6319569","DOIUrl":null,"url":null,"abstract":"Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first recall several operations on soft sets introduced by Maji et al. in a previous paper. Furthermore, we give some new operations such as the product, the anty-product of two soft sets, the inverse, the image and the preimage of a soft set. Moreover, we obtain the basic properties of the various operations of soft sets.","PeriodicalId":277189,"journal":{"name":"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2012-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Some new operations of soft sets\",\"authors\":\"Yining Xia, Li Zuhua\",\"doi\":\"10.1109/URKE.2012.6319569\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first recall several operations on soft sets introduced by Maji et al. in a previous paper. Furthermore, we give some new operations such as the product, the anty-product of two soft sets, the inverse, the image and the preimage of a soft set. Moreover, we obtain the basic properties of the various operations of soft sets.\",\"PeriodicalId\":277189,\"journal\":{\"name\":\"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering\",\"volume\":\"11 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2012-10-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/URKE.2012.6319569\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2012 2nd International Conference on Uncertainty Reasoning and Knowledge Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/URKE.2012.6319569","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Molodtsov introduced the theory of soft sets, which can be seen as a new mathematical approach to vagueness. In this paper, we first recall several operations on soft sets introduced by Maji et al. in a previous paper. Furthermore, we give some new operations such as the product, the anty-product of two soft sets, the inverse, the image and the preimage of a soft set. Moreover, we obtain the basic properties of the various operations of soft sets.