Computer Engineering and Applications ›› 2008, Vol. 44 ›› Issue (2): 92-94.

• 学术探讨 • Previous Articles     Next Articles

Metric structure on logical algebra[0,1]

DAI Jian-yun,WU Hong-bo   

  1. Department of Mathematics,Shaanxi Normal University,Xi’an 710062,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2008-01-11 Published:2008-01-11
  • Contact: DAI Jian-yun

逻辑代数[0,1]上的度量结构

代建云,吴洪博   

  1. 陕西师范大学 数学与信息科学学院,西安 710062
  • 通讯作者: 代建云

Abstract: In this paper,the logical metric is proposed in four kinds of logical algebras respectively,and their properties and the relationships among them are discussed in detail.And the structures of the four logical metric spaces induced by corresponding logical metric are studied,and get some good results.

Key words: logical algebra, operators of implication, metric, logical metric space

摘要: 在4种逻辑代数中分别建立了逻辑度量,讨论了其性质,并对它们之间的关系进行了详尽地讨论;又对4个逻辑度量空间的结构及其性质进行了详细地讨论,并得到一些好的结果。

关键词: 逻辑代数, 蕴涵算子, 度量, 逻辑度量空间