Theory of truth degrees of formulas in Łukasiewiczn-valued propositional logic and a limit theorem

被引：0
|
作者：
Bijing Li
Guojun Wang
机构：
[1] Shaanxi Normal University,Institute of Mathematics
[2] Xi’an Jiaotong University,Research Center for Science
来源：
Science in China Series F: Information Sciences | 2005年 / 48卷
关键词：
Łukasiewicz; -valued propositional logic; truth degree; limit theorem; integrated truth degree;
D O I：
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中图分类号：
学科分类号：
摘要：
The concept of truth degrees of formulas in Łukasiewiczn-valued propositional logicLn is proposed. A limit theorem is obtained, which says that the truth functionτn induced by truth degrees converges to the integrated truth functionτ whenn converges to infinite. Hence this limit theorem builds a bridge between the discrete valued Łukasiewicz logic and the continuous valued Łukasiewicz logic. Moreover, the results obtained in the present paper is a natural generalization of the corresponding results obtained in two-valued propositional logic.
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页码：727 / 736
页数：9
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