n-一致模的构造(Ⅰ)  

The Construction Methods(Ⅰ)of n-Uninorms

作　　者：切洛太 覃锋 傅丽[1] QIE Luotai;QIN Feng;FU Li(School of Mathematics and Statistics,Qinghai Minzu University,Xining Qinghai 810007,China;School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China)

机构地区：[1]青海民族大学数学与统计学院,青海西宁810007 [2]江西师范大学数学与统计学院,江西南昌330022

出　　处：《江西师范大学学报（自然科学版）》2022年第1期1-6,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11971210,61967008);江西省主要学科学术和技术带头人培养计划(20171ACB20010);江西省自然科学基金(20192BAB201009)资助项目.

摘　　要：借助Clifford半群序和理论,该文提出了2种n-一致模的构造方法.基于这些构造方法,可以构造许多新的n-一致模.利用这些构造方法,证明了对具有连续基础算子n-一致模的分解定理的逆命题都成立.By means of Clifford′s semigroup ordinal sum theory,two kinds of methods to constructing a new n-uninorm are given.Based on these methods,there are a number of new n-uninorms.Moreover,applying these results,it is proved that the converse propositions of all decomposed theorems for all n-uninorms with continuous underlying functions hold.

关 键 词：模糊连接词 n-一致模 一致模 序和 

分 类 号：O159[理学—数学] B815.6[理学—基础数学]