[1]魏晓伟,岳跃利*,黄春娥.L-集上的模糊泛代数[J].四川师范大学学报(自然科学版),2019,(01):63.[doi:10.3969/j.issn.1001-8395.2019.01.009]
 WEI Xiaowei,YUE Yueli,HUANG Chune.Fuzzy Universal Algebra on L-sets[J].Journal of SichuanNormal University,2019,(01):63.[doi:10.3969/j.issn.1001-8395.2019.01.009]
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L-集上的模糊泛代数()
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《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2019年01期
页码:
63
栏目:
基础理论
出版日期:
2018-12-15

文章信息/Info

Title:
Fuzzy Universal Algebra on L-sets
文章编号:
1001-8395(2019)01-0063-06
作者:
魏晓伟1 岳跃利1* 黄春娥2
1.中国海洋大学 数学科学学院, 山东 青岛 266100; 2.北京联合大学 生物化学工程学院, 北京 100023
Author(s):
WEI Xiaowei1 YUE Yueli1 HUANG Chune2
1.School of Mathematical Sciences, Ocean University of China, Qingdao 266100, Shandong; 2.School of Biochemical Engineering, Beijing Union University, Beijing 100023
关键词:
L-值关系 同余 同态 L-值幂代数
Keywords:
L-valued relation congruence homomorphism L-valued relation congruence homomorphism lued power algebra
分类号:
O159
DOI:
10.3969/j.issn.1001-8395.2019.01.009
文献标志码:
A
摘要:
引入模糊集上模糊泛代数的概念,比如商代数、同态映射、同余关系、幂代数等,并对它们的性质进行研究,最后证明对任意的L-集A上的同余关系R,存在从P(A)/R+到P(A/R)的满同态映射.
Abstract:
This paper introduces the concepts of fuzzy universal algebra on an L-set, such as a quotient algebra, a homomorphism, a congruence relation and a power algebra etc. Their properties are studied. Finally, it is shown that there is an onto homomorphism from P(A)/R+ to P(A/R) for any congruence relation R on an L-set A.

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备注/Memo

备注/Memo:
收稿日期:2018-06-19 接受日期:2018-09-10
基金项目:国家自然科学基金(11471297)、北京市教育委员会科技计划面上项目(KM201611417007)和山东省自然科学基金(ZR2017MA017)
*通信作者简介:岳跃利(1977—),男,副教授,主要从事格上拓扑与非经典推理的研究,E-mail:yueliyue@126.com
更新日期/Last Update: 2018-12-15