On Injective Lattice Implication Algebras

Chinese Quarterly Journal of Mathematics ›› 2000, Vol. 15 ›› Issue (1): 65-70.

On Injective Lattice Implication Algebras

西南交通大学应用数学系四川成都610031,河南大学计算机学院河南开封475001

Received:1999-12-16 Online:2000-03-30 Published:2024-08-23
About author:SONG Zhen-ming(1960-),male,native of Zhengzhou,Henan,associate professor of Southwest Jiaotong University (Chengdu,Sichuan),Ph.D.,engages in algebraic logic,fuzzy topology,uncertain reasoning and intelligent control.
Supported by:
Supported by the National Science Foundation of China!( 69874033)

Abstract

Abstract: 多值逻辑是人工智能中一个重要的研究方向．为了进一步深入研究多值逻辑，特别是真值基于格上的多值逻辑，文献［１］提出并建立了格蕴涵代数这一逻辑代数结构，进而研究了对应的格值逻辑系统．本文则集中讨论了一类较特殊但也较广泛的格蕴涵代数，即内射的格蕴涵代数，深入探讨了这类代数的一些性质并给出了其特征结构的刻画．

Key words: , 格值逻辑系统, 格蕴涵代数, 内射的格蕴涵代数, ,

CLC Number:

O141

SONG Zhen-ming, ZHENG Feng-bin. On Injective Lattice Implication Algebras [J]. Chinese Quarterly Journal of Mathematics, 2000, 15(1): 65-70.

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On Injective Lattice Implication Algebras

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