完备格上伪t-模与蕴涵算子的限制和诱导  

Limitation of Pseudo-t-norm on a Complete Lattice and Its Induced Operator

作　　者：廖大见[1] 刘才贵[1] 乔庆荣[1] 翟余华 

机构地区：[1]淮海工学院东港学院基础部,江苏连云港222069

出　　处：《淮海工学院学报（自然科学版）》2004年第4期4-6,共3页Journal of Huaihai Institute of Technology:Natural Sciences Edition

基　　金：江苏省高校自然科学研究指导性计划项目(02KJD110006)

摘　　要：研究了完备格L上的伪t-模与其诱导的蕴涵之间的相互关系,得到了伪t-模在一定范围上的限制和其诱导的蕴涵在相应范围上的限制之间的联系,从而具体地表明了L上的伪t-模与其诱导的蕴涵之间的关系,并据此给出一个比较简便的求已知伪t-模或蕴涵诱导的剩余算子的方法.The relationship between the pseudo-t-norm on the complete Lattice L and its induced implications is studied in detail in this paper, and the relationship between the limitation of a pseudo-t-norm on a certain field and its corresponding limitation is established. On such a basis, the relationship between the pseudo-t-norm on L and its induced implications is shown clearly. Besides, a concrete method to calculate a residual operator of a pseudo-t-norm or its implication is provided.

关 键 词：伪T-模 蕴涵 限制 诱导 

分 类 号：O159[理学—数学]