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

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)

机构地区：[1]新疆理工学院理学院,新疆阿克苏843000 [2]喀什大学数学与统计学院,新疆喀什844000

出　　处：《数学的实践与认识》2020年第18期252-257,共6页Mathematics in Practice and Theory

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.

关 键 词：左连续三角模 正则蕴涵算子 剩余类蕴涵 

分 类 号：O159[理学—数学]