{"title":"Infinite-Valued Lukasiewicz Logic Based on Principal Lattice Filters","authors":"Félix Bou","doi":"10.1109/ISMVL.2010.23","DOIUrl":null,"url":null,"abstract":"In this paper we axiomatize the formulas that, in the infinite-valued (standard) Lukasiewicz algebra, always take a value above certain fixed number. This generalizes the approach considered in the infinite-valued Lukasiewicz logic, where the fixed number is the maximum.","PeriodicalId":447743,"journal":{"name":"2010 40th IEEE International Symposium on Multiple-Valued Logic","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2010-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2010 40th IEEE International Symposium on Multiple-Valued Logic","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ISMVL.2010.23","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this paper we axiomatize the formulas that, in the infinite-valued (standard) Lukasiewicz algebra, always take a value above certain fixed number. This generalizes the approach considered in the infinite-valued Lukasiewicz logic, where the fixed number is the maximum.