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有界格上三角范数的凸并
引用本文:党艳,辛小龙,李毅君.有界格上三角范数的凸并[J].高师理科学刊,2009,29(1).
作者姓名:党艳  辛小龙  李毅君
作者单位:西北大学,数学系,陕西,西安,710127
摘    要:研究了有界格L上的二元运算的性质α-可移性,且运用α-可移性证明了有界格L上2个t-范数的凸并亦为t-范数,其中之一为不连续的.

关 键 词:三角范数  凸并  结合律

On the convex combinations of triangular norms on bounded lattices
DANG Yan,XIN Xiao-long,LI Yi-jun.On the convex combinations of triangular norms on bounded lattices[J].Journal of Science of Teachers'College and University,2009,29(1).
Authors:DANG Yan  XIN Xiao-long  LI Yi-jun
Institution:Department of Mathematics;Northwest University;Xi'an 710127;China
Abstract:Studied the property of α-migrativity on binary operations L,by using of the property of α-migrativity,proven that the means of convex combinations of two t -norms is t-norms,one of them being discontinious.
Keywords:triangular norm  convex combination  associativity  
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