完备格上的拟t-模与蕴涵算子  

Quasi t-Norms and Residual Implications on a Complete Lattice

作　　者：廖大见[1] 

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：《西南师范大学学报（自然科学版）》2003年第6期835-840,共6页Journal of Southwest China Normal University(Natural Science Edition)

基　　金：江苏省教育厅自然科学基金资助项目(00KJD110006).

摘　　要：引入并讨论完备格L上的拟t 模与剩余蕴涵的概念,研究了L上拟t 模与剩余蕴涵之间的关系,给出求一个已知拟t 模或剩余蕴涵的剩余算子的方法,并指出[0,1]上的两类基本蕴涵和Yager蕴涵都是可以由[0,1]上的拟t 模诱导的剩余蕴涵.The concept of quasi t-Norms on a complete lattice L is introduced and discussed. And the relation between the quasi t-norms and residual implication on L in detail is studied. Then a method to calculate a residual operator of a quasi t-norms or a residual implication is given out. It is pointed out that two classes fundamental fuzzy implications and Yagers implication on [0, 1] are all implications that can be induced by quasi t-norms on L when L=[0, 1].

关 键 词：完备格 拟t-模 蕴涵算子 非经典逻辑 弱t-模 伪T-模 剩余蕴涵 

分 类 号：O159[理学—数学]