José Sanabria, Adolfo Pimienta, Semiramis Zambrano
{"title":"Soft convex structures","authors":"José Sanabria, Adolfo Pimienta, Semiramis Zambrano","doi":"arxiv-2405.19367","DOIUrl":null,"url":null,"abstract":"In this manuscript the idea of soft convex structures is given and some of\ntheir properties are investigated. Also, soft convex sets, soft concave sets\nand soft convex hull operator are defined and their properties are studied.\nMoreover, the concepts of soft convexly derived operator and soft convex base\nare studied and their relationship to convex structures are explored.","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"9 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2405.19367","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this manuscript the idea of soft convex structures is given and some of
their properties are investigated. Also, soft convex sets, soft concave sets
and soft convex hull operator are defined and their properties are studied.
Moreover, the concepts of soft convexly derived operator and soft convex base
are studied and their relationship to convex structures are explored.
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