[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):254-259.[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,(03):254-259.[doi:10.16357/j.cnki.issn1000-5862.2018.03.07]
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构造模糊蕴涵的新序和方法()
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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:
2018年03期
页码:
254-259
栏目:
数学与应用数学
出版日期:
2018-06-20

文章信息/Info

Title:
The Novel Method of Constructing Fuzzy Implications by Ordinal Sum
文章编号:
1000-5862(2018)03-0254-06
作者:
杨 丽1覃 锋2*
1.南昌工学院基础教育学院,江西 南昌 330108; 2.江西师范大学数学与信息科学学院,江西 南昌 330022
Author(s):
YANG Li1QIN Feng2*
1.College of Fundamental Teaching,Nanchang Institute of Science and Technology,Nanchang Jiangxi 330108,China; 2.College of Mathematics and Informatics,Jiangxi Normal University,Nanchang Jiangxi 330022,China
关键词:
模糊连接词 模糊蕴涵 序和
Keywords:
fuzzy connectives fuzzy implications ordinal sum implications
分类号:
O 159
DOI:
10.16357/j.cnki.issn1000-5862.2018.03.07
文献标志码:
A
摘要:
借助半群序和理论,从一族给定的模糊蕴涵出发,定义了一种新的序和,给出了这种序和成为模糊蕴涵的充要条件,研究表明这种新的序和推广并统一了当前2种模糊蕴涵序和的构造方法,最后讨论了这种新序和的若干性质.
Abstract:
With the aid of the ordinal theory of semigroups,starting from the family of fuzzy implications,a novel ordinal sum of fuzzy implications is defined,and the necessary and sufficient conditions of this ordinal sum becoming a fuzzy implication are given,then the current two methods of constructing fuzzy implications using the ordinal theory are generalized and unified.Finally,some properties of the ordinal sum of fuzzy implications are discussed.

参考文献/References:

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[11] Drygas P,Krol A.Generating fuzzy implications by ordinal sums [J].Tatra Mt Math Publ,2017,66(1):39-50.
[12] Drygas P,Krol A.Ordinal sum of fuzzy implications fulfilling left ordering property [C]∥Kacprzyk J,Szmidt E.Advances in Fuzzy Logic and Technology 2017,Warsaw:Springer International Publishing,2018:658-669.
[13] Drygas P,Krol A.Two constructions of ordinal sums of fuzzy implications [C]∥Atanassov T,Cross-Fertilization J.New Models and Applications Series:Advances in Intelligent Systems and Computing,Switzerland:Springer International Publishing,2018.
[14] 李芳,裴道武.多重模糊蕴涵与生成模糊蕴涵的新方法 [J].高校应用数学学报,2016,31(4):467-475.
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备注/Memo

备注/Memo:
收稿日期:2018-01-10
基金项目:国家自然科学基金(61563020),江西省自然科学重点基金(20171ACB20010)和南昌工学院科研(NGKJ-17-18)资助项目.
通信作者:覃 锋(1976-),男,湖北鹤峰人,教授,博士,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: 2018-06-20