{"title":"Entropies on Bounded Lattices","authors":"D. Simovici","doi":"10.1109/ISMVL.2011.18","DOIUrl":null,"url":null,"abstract":"We introduce the notion of entropy on arbitrary lattices and we study several of its properties. Explicit forms for entropy are obtained for entropies on graded lattices that satisfy certain regularity conditions. The relationships between entropies and metrics defined on lattices are also explored.","PeriodicalId":234611,"journal":{"name":"2011 41st IEEE International Symposium on Multiple-Valued Logic","volume":"47 3","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2011-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2011 41st IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2011.18","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We introduce the notion of entropy on arbitrary lattices and we study several of its properties. Explicit forms for entropy are obtained for entropies on graded lattices that satisfy certain regularity conditions. The relationships between entropies and metrics defined on lattices are also explored.
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