[1]切洛太,覃 锋*,傅 丽.n-一致模的构造(Ⅰ)[J].江西师范大学学报(自然科学版),2022,(01):1-6.[doi:10.16357/j.cnki.issn1000-5862.2022.01.01]
　QIE Luotai,QIN Feng*,FU Li.The Construction Methods(Ⅰ)of n-Uninorms[J].Journal of Jiangxi Normal University:Natural Science Edition,2022,(01):1-6.[doi:10.16357/j.cnki.issn1000-5862.2022.01.01]
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n-一致模的构造(Ⅰ)()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2022年01期
页码:
1-6
栏目:
数学与应用数学
出版日期:
2022-01-25

文章信息/Info

Title:
The Construction Methods(Ⅰ)of n-Uninorms
文章编号:
1000-5862(2022)01-0001-06
作者:
切洛太1; 覃 锋1; 2*; 傅 丽1
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
Author(s):
QIE Luotai1; QIN Feng1; 2*; FU Li1
1.School of Mathematics and Statistics,Qinghai Minzu University,Xining Qinghai 810007,China; 2.School of Mathematics and Statistics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
模糊连接词;  n-一致模;  一致模;  序和
Keywords:
fuzzy connective;  n-uninorms;  uninorms;  ordinal sum
分类号:
O 159; B 815.6
DOI:
10.16357/j.cnki.issn1000-5862.2022.01.01
文献标志码:
A
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.
Abstract:
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.

参考文献/References:

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相似文献/References:

[1]杨 丽,覃 锋*.构造模糊蕴涵的新序和方法[J].江西师范大学学报(自然科学版),2018,(03):254.[doi:10.16357/j.cnki.issn1000-5862.2018.03.07]
　YANG Li,QIN Feng*.The Novel Method of Constructing Fuzzy Implications by Ordinal Sum[J].Journal of Jiangxi Normal University:Natural Science Edition,2018,(01):254.[doi:10.16357/j.cnki.issn1000-5862.2018.03.07]

备注/Memo

备注/Memo:
收稿日期:2021-09-24
基金项目: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)和江西省自然科学基金(20192BAB201009)资助项目.
通信作者:覃 锋(1976—),男,湖北鹤峰人,教授,博士,博士生导师,主要从事模糊逻辑与模糊控制研究.E-mail:qinfeng923@163.com
更新日期/Last Update: 2022-01-25