Lukasiewicz逻辑系统中理论的平均真度及偏差

计算机工程与应用 ›› 2016, Vol. 52 ›› Issue (4): 42-45.

Lukasiewicz逻辑系统中理论的平均真度及偏差

李　　骏，李小兵

兰州理工大学理学院，兰州 730050

出版日期:2016-02-15 发布日期:2016-02-03

Average truth degree and deviation of theory in Lukasiewicz logical system

LI Jun, LI Xiaobing

School of Science, Lanzhou University of Technology, Lanzhou 730050, China

Online:2016-02-15 Published:2016-02-03

摘要/Abstract

摘要： 在[n]值Lukasiewicz命题逻辑系统中引入了有限理论的平均真度和偏差的概念，讨论了有限理论的平均真度和偏差各自的重要性质。研究表明，利用平均真度可以刻画有限理论的可靠度，而利用偏差可以刻画有限理论的稳定性，因此将理论的平均真度和偏差相结合就可以对有限理论的好坏进行全面且综合的评判。

关键词: 逻辑理论, 理论的平均真度, 理论的偏差

Abstract: Concepts of the average truth degree and deviation of a finite theory are introduced into n-valued Lukasiewicz logical system in this paper, some important property of them are discussed. The reliability of a finite theory can be characterized by its average truth degree and its stability is depicted by deviation, therefore, an overall and comprehensive evaluation to the goodness and badness of a finite theory can be given by combining with the average truth degree and deviation.

Key words: logical theory, average truth degree of theory, deviation of logical theory

李　　骏，李小兵. Lukasiewicz逻辑系统中理论的平均真度及偏差[J]. 计算机工程与应用, 2016, 52(4): 42-45.

LI Jun, LI Xiaobing. Average truth degree and deviation of theory in Lukasiewicz logical system[J]. Computer Engineering and Applications, 2016, 52(4): 42-45.