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-norms or a residual implication is given out. It is pointed out that two classes fundamental fuzzy implications and Yagers implication on [0, 1] are all implications that can be induced by quasi t-norms on L when L=[0, 1].
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
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).
