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模糊数学与模糊系统专题

n-一致模的构造(Ⅱ)

  • FU Li1 ,
  • QIN Feng1 ,
  • 2*
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  • (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)
覃锋,男,教授,博士生导师,主要从事基于模糊理论的不确定性研究。E-mail:qinfeng923@163.com

网络出版日期: 2023-05-06

基金资助

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)

Construction methods(Ⅱ) of n-uninorms

  • 傅丽1,覃锋1,2*
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  • (1 School of Mathematics and Statistics,Qinghai Minzu University,Xining 810007,Qinghai,China;2 School of Mathematics and Statistics,Jiangxi Normal University,Nanchang 330022,Jiangxi,China)

Online published: 2023-05-06

摘要

借助Clifford半群序和理论,根据外层算子G1是否为一致模的分类标准,提出了两种n-一致模的构造方法。基于这些构造方法,可构造许多新的n-一致模。作为应用,证明了相关文献中具有连续基础算子的n-一致模的所有分解定理的逆命题都成立。

本文引用格式

FU Li1 , QIN Feng1 , 2* . n-一致模的构造(Ⅱ)[J]. 陕西师范大学学报(自然科学版), 2023 , 51(2) : 130 -138 . DOI: 10.15983/j.cnki.jsnu.2023119

Abstract

By means of Cliffords ordinal sum theory,according to the classification criteria of whether the outer operator G1 is a uninorm, the other 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, as an application, it is proved that the converse propositions of all decomposed theorems hold for all n-uninorms with continuous underlying functions in the relevant references.
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