Discuss of numbers of sub-algebra in n-value logic systems

doi:10.3778/j.issn.1002-8331.2009.27.020

Computer Engineering and Applications ›› 2009, Vol. 45 ›› Issue (27): 62-65.DOI: 10.3778/j.issn.1002-8331.2009.27.020

• 研究、探讨 • Previous Articles Next Articles

Discuss of numbers of sub-algebra in n-value logic systems

LI Shao-yong，LI Cheng-yun

School of Mathematics Science，Liaocheng University，Liaocheng，Shandong 252059，China

Received:2008-05-22 Revised:2008-08-06 Online:2009-09-21 Published:2009-09-21
Contact: LI Shao-yong

n值逻辑系统子代数个数之讨论

李绍勇，李成允

聊城大学数学科学学院，山东聊城 252059

通讯作者: 李绍勇

Abstract

Abstract: In this paper，the numerical characteristics and the counting problems of the sub-algebra in six systems L_n，S_n，G_n，K_n，Z_n，W_n are investigated from both broad and narrow sense respectively.Therefore，the numbers and properties of the sub-algebra on these logic systems are obtained.

Key words: n-valued logic, sub-algebra, implication operator, logical system, number of sub-algebra

摘要： 在广义和狭义两方面分别研究了六个系统L_n，S_n，G_n，K_n，Z_n，W_n的子代数的个数的特征及其计数问题。由此，得到了逻辑系统L_n，S_n，G_n，W_n，K_n，Z_n的子代数个数及其性质。

关键词: n值逻辑, 子代数, 蕴涵算子, 逻辑系统, 子代数的个数

CLC Number:

O159

LI Shao-yong，LI Cheng-yun. Discuss of numbers of sub-algebra in n-value logic systems[J]. Computer Engineering and Applications, 2009, 45(27): 62-65.

李绍勇，李成允. n值逻辑系统子代数个数之讨论[J]. 计算机工程与应用, 2009, 45(27): 62-65.

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Discuss of numbers of sub-algebra in n-value logic systems

n值逻辑系统子代数个数之讨论

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