[1]王丰效,宋爱丽.半群的区间值Q-模糊双理想和内理想[J].南京师范大学学报(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]
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半群的区间值Q-模糊双理想和内理想()
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《南京师范大学学报》(自然科学版)[ISSN:1001-4616/CN:32-1239/N]

卷:
第42卷
期数:
2019年01期
页码:
14
栏目:
·数学·
出版日期:
2019-03-20

文章信息/Info

Title:
Interval Value Q-fuzzy Bi-ideals and Interior Ideals of Semigroup
文章编号:
1001-4616(2019)01-0014-06
作者:
王丰效宋爱丽
喀什大学数学与统计学院,新疆 喀什 844000
Author(s):
Wang FengxiaoSong Aili
College of Mathematics and Statistics,Kashi University,Kashi 844000,China
关键词:
半群区间值Q-模糊双理想区间值Q-模糊内理想交集直积
Keywords:
semigroupinterval valued Q-fuzzy idealsinterval valued Q-fuzzy interior idealsintersectiondirect product
分类号:
O159
DOI:
10.3969/j.issn.1001-4616.2019.01.003
文献标志码:
A
摘要:
模糊理想理论是半群的模糊理论的一个重要领域. 给定非空集Q,引入了半群的区间值Q-模糊双理想和区间值Q-模糊内理想的概念,讨论了半群的区间值Q-模糊双(内)理想的相关性质. 分别给出了半群的区间值Q-模糊双(内)理想与模糊双(内)理想以及区间值模糊双(内)理想的关系. 证明了半群的区间值Q-模糊双(内)理想的交和直积仍然是区间值Q-模糊双(内)理想.
Abstract:
Fuzzy ideals theory are an important research field of semigroup fuzzy theory. Give a set Q,introduce the notion of the Q-interval value fuzzy ideals of semigroups,discuss its basic properties. The relations between Q-interval valued fuzzy ideals and fuzzy ideals and interval valued fuzzy ideals are given. It is proved that the intersections and direct product of Q-interval valued fuzzy ideals of semigroups are still Q-interval valued fuzzy ideals.

参考文献/References:

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相似文献/References:

[1]宋爱丽,王丰效.半群的n维区间值模糊子半群[J].南京师范大学学报(自然科学版),2023,46(01):6.[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.[doi:10.3969/j.issn.1001-4616.2023.01.002]

备注/Memo

备注/Memo:
收稿日期:2018-04-17.
基金项目:新疆维吾尔自治区自然科学基金(2018D01A02).
通讯联系人:王丰效,教授,硕士生导师,研究方向:模糊子代数,应用概率统计研究. E-mail:fxw-hz@126.com
更新日期/Last Update: 2019-03-30