[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]
点击复制

半群的区间值Q-模糊双理想和内理想()
分享到:

《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:

[1] 谢祥云,吴明芬. 半群的模糊理论[M]. 北京:科学出版社,2005.
[2]MORDESON J N,MALIK D S,KOUOKI N. Fuzzy semigroups[M]. Berlin:Springer,2003.
[3]WANG F X. Interval-valued intuitionistic fuzzy ideals of B-algebras[J]. Journal of intelligent & fuzzy systems,2017,33(4):2609-2615.
[4]王丰效,宋爱丽. 半群的区间值反模糊子半群的性质[J]. 数学的实践与认识,2018,48(5):207-212.
[5]王丰效. 坡代数的区间值模糊子坡[J]. 数学的实践与认识,2017,47(24):289-293.
[6]KUROKI N. On fuzzy ideals and fuzzy bi-ideals in semigroup[J]. Fuzzy sets and systems,1981(5):203-215.
[7]JUN Y B,KIM,K H,et al. On Ω-fuzzy ideals of BCK/BCI-algebras[J]. Journal of fuzzy mathematics,2001,9(1):173-180.
[8]PENG J Y. Ω-fuzzy H-ideals of BCI-algebras[J]. Journal of Nanjing normal university(natural science edition),2009,24(2):5-10.
[9]彭家寅. BCH-代数的Ω-模糊正定关联理想[J]. 数学的实践与认识,2010,40(2):157-163.
[10]朱晓英,廖祖华,罗晓棠,等. 半群的Ω-模糊子半群[J]. 江南大学学报(自然科学版),2013,12(6):343-346.

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