半t算子关于半零模的分配方程  

DISTRIBUTIVITY EQUATION FORSEMI-NULLNORMS AND SEMI-T-OPERATORS

作　　者：张琬迪 卢威 宋晓秋 Zhang Wandi;Lu Wei;Song Xiaoqiu(Xuzhou Wangjie Middle School,Xuzhou 221004;School of Mathematics,China University of Mining and Technology,Xuzhou 221116)

机构地区：[1]徐州市王杰中学,徐州221004 [2]中国矿业大学数学学院,徐州21116

出　　处：《南京大学学报（数学半年刊）》2021年第2期144-161,共18页Journal of Nanjing University(Mathematical Biquarterly)

摘　　要：近年来,各种算子的分配方程都得到了大量研究,如三角模、三角余模、统-模、零模等,本文主要研究了半t算子关于半零模的分配方程,此外,我们提出了一些重要结论并给出两个例题.Recently,the distributivity equation for di erent kind of operators(such as triangular norms,triangular conorms,uninorms and nullnorms)has been reached in numerous studies.The main purpose of this paper is to study the distributivity equations between semi-nullnorms and semi-t-operators.Moreover,we propose some important results and two examples.

关 键 词：聚合算子 分配方程 幂等算子 半t算子 半零模 

分 类 号：O159[理学—数学]