{"title":"逻辑系统Ln中的随机化","authors":"Weibing Zuo, Yuanzhang Zhang","doi":"10.1109/ETCS.2009.281","DOIUrl":null,"url":null,"abstract":"By means of randomization, the concept of randomized truth degree of well-formed formulae in n-valued Lukasiewicz propositional logic is introduced. It is proved that the set of values of randomized truth degree of well-formed formulae has no isolated point in [0, 1]. It is generalize the related concepts and properties of quantitative logic. The concepts of compatibility and independence of formulae are introduced and studied.","PeriodicalId":422513,"journal":{"name":"2009 First International Workshop on Education Technology and Computer Science","volume":"98 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Randomization in Logic System Ln\",\"authors\":\"Weibing Zuo, Yuanzhang Zhang\",\"doi\":\"10.1109/ETCS.2009.281\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"By means of randomization, the concept of randomized truth degree of well-formed formulae in n-valued Lukasiewicz propositional logic is introduced. It is proved that the set of values of randomized truth degree of well-formed formulae has no isolated point in [0, 1]. It is generalize the related concepts and properties of quantitative logic. The concepts of compatibility and independence of formulae are introduced and studied.\",\"PeriodicalId\":422513,\"journal\":{\"name\":\"2009 First International Workshop on Education Technology and Computer Science\",\"volume\":\"98 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-03-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 First International Workshop on Education Technology and Computer Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ETCS.2009.281\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 First International Workshop on Education Technology and Computer Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ETCS.2009.281","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
By means of randomization, the concept of randomized truth degree of well-formed formulae in n-valued Lukasiewicz propositional logic is introduced. It is proved that the set of values of randomized truth degree of well-formed formulae has no isolated point in [0, 1]. It is generalize the related concepts and properties of quantitative logic. The concepts of compatibility and independence of formulae are introduced and studied.
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