[1]宋爱丽,王丰效.半群的n维区间值模糊子半群[J].南京师大学报(自然科学版),2023,46(01):6-10,17.[doi:10.3969/j.issn.1001-4616.2023.01.002]
　Song Aili,Wang Fengxiao.n-Dimensional Interval Valued Fuzzy Subsemigroup in Semigroups[J].Journal of Nanjing Normal University(Natural Science Edition),2023,46(01):6-10,17.[doi:10.3969/j.issn.1001-4616.2023.01.002]
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半群的n维区间值模糊子半群()
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《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

卷:
第46卷
期数:
2023年01期
页码:
6-10,17
栏目:
数学
出版日期:
2023-03-15

文章信息/Info

Title:
n-Dimensional Interval Valued Fuzzy Subsemigroup in Semigroups
文章编号:
1001-4616(2023)01-0006-05
作者:
宋爱丽; 王丰效
(喀什大学数学与统计学院，新疆 喀什 844000)
Author(s):
Song Aili; Wang Fengxiao
(College of Mathematics and Statistics, Kashi University, Xinjiang 844000, China)
关键词:
半群; n维模糊集; 区间值模糊集; n维区间值模糊子半群; 直积
Keywords:
semigroup;  n-dimensional fuzzy set;  interval valued fuzzy set;  n-dimensional interval valued fuzzy subsemigroup;  direct product
分类号:
O159
DOI:
10.3969/j.issn.1001-4616.2023.01.002
文献标志码:
A
摘要:
半群的模糊子半群是半群模糊理论的一个重要研究领域. 结合n维模糊集和区间值模糊集的概念引入了n维区间值模糊集的概念,并应用于半群,引入了半群的n维区间值模糊子半群的概念. 讨论了半群的n维区间值模糊子半群的基本性质. 给出了半群的n维区间值模糊子半群与区间值模糊子半群及半群的子半群的关系. 证明了半群的n维区间值模糊子半群的交和直积仍然是n维区间值模糊子半群.
Abstract:
Fuzzy subsemigroups of semigroups are an important research field of semigroup fuzzy theory. Combining the concepts of n-dimensional fuzzy sets and interval valued fuzzy sets,the concept of n-dimensional interval valued fuzzy sets is introduced and applied to semigroups. The concept of n-dimensional interval valued fuzzy subsemigroups of semigroups is introduced. The basic properties of n-dimensional interval valued fuzzy subsemigroups of semigroups are discussed. The relations between n-dimensional interval valued fuzzy subsemigroups,interval valued fuzzy subsemigroups and subsemigroups of semigroups are given. It is proved that the intersection and direct product of n-dimensional interval valued fuzzy subsemigroups of semigroups are still n-dimensional interval valued fuzzy subsemigroups.

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相似文献/References:

[1]王丰效,宋爱丽.半群的区间值Q-模糊双理想和内理想[J].南京师大学报(自然科学版),2019,42(01):14.[doi:10.3969/j.issn.1001-4616.2019.01.003]
　Wang Fengxiao,Song Aili.Interval Value Q-fuzzy Bi-ideals and Interior Ideals of Semigroup[J].Journal of Nanjing Normal University(Natural Science Edition),2019,42(01):14.[doi:10.3969/j.issn.1001-4616.2019.01.003]

备注/Memo

备注/Memo:
收稿日期:2022-06-15.
基金项目:新疆维吾尔自治区自然科学基金项目(2018D01A02).
通讯作者:宋爱丽,副教授,研究方向:模糊子代数研究. E-mail:sal220@sohu.com
更新日期/Last Update: 2023-03-15