{"title":"软超向量空间中的软向量","authors":"O. Dehghan, M. Norouzi","doi":"10.1109/CFIS49607.2020.9238694","DOIUrl":null,"url":null,"abstract":"We study sum and scalar product of soft sets over hypervector spaces and obtain an equivalent condition, based on defined concepts, whenever a soft set over a hypervector space is a soft hypervector space. Also we present the notion of soft vectors belonging to a soft hypervector space and investigate some basic related results. Finally, we offer a connection between the notion of linearly independence in hypervector spaces and soft vectors of soft hypervector spaces, for next studies.","PeriodicalId":128323,"journal":{"name":"2020 8th Iranian Joint Congress on Fuzzy and intelligent Systems (CFIS)","volume":"313 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Soft Vectors in Soft Hypervector Spaces\",\"authors\":\"O. Dehghan, M. Norouzi\",\"doi\":\"10.1109/CFIS49607.2020.9238694\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study sum and scalar product of soft sets over hypervector spaces and obtain an equivalent condition, based on defined concepts, whenever a soft set over a hypervector space is a soft hypervector space. Also we present the notion of soft vectors belonging to a soft hypervector space and investigate some basic related results. Finally, we offer a connection between the notion of linearly independence in hypervector spaces and soft vectors of soft hypervector spaces, for next studies.\",\"PeriodicalId\":128323,\"journal\":{\"name\":\"2020 8th Iranian Joint Congress on Fuzzy and intelligent Systems (CFIS)\",\"volume\":\"313 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 8th Iranian Joint Congress on Fuzzy and intelligent Systems (CFIS)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CFIS49607.2020.9238694\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 8th Iranian Joint Congress on Fuzzy and intelligent Systems (CFIS)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CFIS49607.2020.9238694","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We study sum and scalar product of soft sets over hypervector spaces and obtain an equivalent condition, based on defined concepts, whenever a soft set over a hypervector space is a soft hypervector space. Also we present the notion of soft vectors belonging to a soft hypervector space and investigate some basic related results. Finally, we offer a connection between the notion of linearly independence in hypervector spaces and soft vectors of soft hypervector spaces, for next studies.
求助内容：
应助结果提醒方式：
京公网安备 11010802042870号
