正则蕴涵算子与左连续三角模的关系再探讨
Re-exploring the Relationship Between Regular Fuzzy Implications and left Continuous Triangular Norms
摘要
证明了正则蕴涵算子与左连续三角模生成的剩余类蕴涵等价,且正则蕴涵算子和左连续三角一一对应,并给出了一种利用部分左连续三角模生成左连续三角模的方法.
In this paper,the author proved that regular fuzzy implications and residuated implication(R-implications)from left continuous triangular norms are equivalent.And regular fuzzy implications and left continuous triangular norms are one-one corresponding.The author also formulated a method of obtaining left continuous triangular norms from non left continuous ones.
作者
王晓斌
吴星星
汪仲文
WANG Xiao-bing;WU Xing-xin;WANG Zhong-wen(Department of Mathematics,Xinjiang Institute of Technology,Aksu 843100,China;Department of Mathematics,Kashgar University,Kashgar 844006,China)
出处
《数学的实践与认识》
北大核心
2020年第18期252-257,共6页
Mathematics in Practice and Theory
关键词
左连续三角模
正则蕴涵算子
剩余类蕴涵
left continuous T-norms
regular fuzzy implication
R-implications
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