{"title":"Absolutely monotone real set functions","authors":"B. Mihailovic, E. Pap, L. Nedovic","doi":"10.1109/SISY.2009.5291182","DOIUrl":null,"url":null,"abstract":"We present a class of absolutely monotone and signed stable set functions with m() = 0, AMSS. The representation of a set function from AMSS as a symmetric maximum of two monotone set function is obtained. We present three integrals of a real-valued measurable function based on m ∊ AMSS.","PeriodicalId":378688,"journal":{"name":"2009 7th International Symposium on Intelligent Systems and Informatics","volume":"31 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 7th International Symposium on Intelligent Systems and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/SISY.2009.5291182","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
We present a class of absolutely monotone and signed stable set functions with m() = 0, AMSS. The representation of a set function from AMSS as a symmetric maximum of two monotone set function is obtained. We present three integrals of a real-valued measurable function based on m ∊ AMSS.
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