D空间,理想scattered空间,导出长度,信息系统," /> D空间和理想scattered空间在信息系统中的应用" /> D空间和理想scattered空间在信息系统中的应用" /> D空间,理想scattered空间,导出长度,信息系统,"/> D space and ideal scattered space in information systems" /> D spaces,ideal scattered spaces,derived length,information system,"/> 理想<inline-formula><math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mi mathvariant="bold-italic">D</mml:mi></math></inline-formula>空间和理想scattered空间在信息系统中的应用
Please wait a minute...
浙江大学学报(理学版)  2023, Vol. 50 Issue (1): 43-48    DOI: 10.3785/j.issn.1008-9497.2023.01.007
数学与计算机科学     
理想D空间和理想scattered空间在信息系统中的应用
吴琼淄1(),刘媛媛2,廖波3,卢诗展1()
1.江苏大学 管理学院, 江苏 镇江 212013
2.郑州卫生健康职业学院, 河南 郑州 450018
3.广西师范大学 数学与统计学院, 广西 桂林 541004
The applications of ideal D space and ideal scattered space in information systems
Qiongzi WU1(),Yuanyuan LIU2,Bo LIAO3,Shizhan LU1()
1.School of Management,Jiangsu University,Zhenjiang 212013,Jiangsu Province,China
2.Zhengzhou Health Vocational College,Zhengzhou 450018,China
3.College of Mathematics and Statistics,Guangxi Normal University,Guilin 541004,Guangxi Province,China
 全文: PDF(439 KB)   HTML( 3 )
摘要:

通过引入理想D空间概念,研究了理想D空间的空间性质,讨论了理想D空间与理想scattered空间的关系,并通过二者在信息系统中的应用实例进行说明。

关键词: D空间')" href="#">理想D空间理想scattered空间导出长度信息系统    
Abstract:

The concept of ideal D space is introduced, some properties of ideal D space are explored, and then the relationships of ideal D space and ideal scattered space are discussed, the applications in the information system research area of these two ideal spaces are illustrated.

Key words: D spaces')" href="#">ideal D spaces    ideal scattered spaces    derived length    information system
收稿日期: 2021-12-17 出版日期: 2023-01-13
CLC:  O 189.3  
基金资助: 国家自然科学基金资助项目(51969005)
通讯作者: 卢诗展     E-mail: 3190805060@ujs.edu.cn;lushizhan20140910@126.com
作者简介: 吴琼淄(2000—),ORCID: https://orcid.org/0000-0003-3120-878X, 女,硕士研究生,主要从事信息系统研究,E-mail: 3190805060@ujs.edu.cn.
服务  
把本文推荐给朋友 D空间和理想scattered空间在信息系统中的应用”的文章,特向您推荐。请打开下面的网址:https://www.zjujournals.com/sci/CN/abstract/abstract45455.shtml" name="neirong"> D空间和理想scattered空间在信息系统中的应用">
加入引用管理器
E-mail Alert
RSS
作者相关文章  
吴琼淄
刘媛媛
廖波
卢诗展

引用本文:

吴琼淄,刘媛媛,廖波,卢诗展. 理想D空间和理想scattered空间在信息系统中的应用[J]. 浙江大学学报(理学版), 2023, 50(1): 43-48.

Qiongzi WU,Yuanyuan LIU,Bo LIAO,Shizhan LU. The applications of ideal D space and ideal scattered space in information systems. Journal of Zhejiang University (Science Edition), 2023, 50(1): 43-48.

链接本文:

https://www.zjujournals.com/sci/CN/10.3785/j.issn.1008-9497.2023.01.007        https://www.zjujournals.com/sci/CN/Y2023/V50/I1/43

Ua1a2a3
x1135
x2145
x3146
x4246
x5246
x6246
表1  f:(U,A)→V的关系
1 LU L, JOANNOPOULOS J D, SOLJAČIĆ M. Topological photonics[J]. Nature Photonics, 2014, 8(11): 821-829. DOI: 10.1038/nphoton.2014.248
doi: 10.1038/nphoton.2014.248
2 KHANIKAEV A B, SHVETS G. Two-dimensional topological photonics[J]. Nature Photonics, 2017, 11(12): 763-773. DOI: 10.1038/s41566-017-0048-5
doi: 10.1038/s41566-017-0048-5
3 ZHANG H D, SHU L, LIAO S L. Topological structures of interval-valued hesitant fuzzy rough set and its application[J]. Journal of Intelligent & Fuzzy Systems, 2016, 30(2): 1029-1043. DOI: 10.3233/IFS-151826
doi: 10.3233/IFS-151826
4 EGENHOFER M J, FRANZOSA R D. Point-set topological spatial relations[J]. International Journal of Geographical Information Systems, 1991, 5(2): 161-174. DOI: 10.1080/02693799108927841
doi: 10.1080/02693799108927841
5 RIAZ M, DAVVAZ B, FAKHAR A, et al. Hesitant fuzzy soft topology and its applications to multi-attribute group decision-making[J]. Soft Computing, 2020, 24(21): 16269-16289. DOI: 10. 1007/s00500-020-04938-0
doi: 10. 1007/s00500-020-04938-0
6 BHATTACHARYA S, LIKHACHEV M, KUMAR V. Topological constraints in search-based robot path planning[J]. Autonomous Robots, 2012, 33(3): 273-290. DOI: 10.1007/s10514-012-9304-1
doi: 10.1007/s10514-012-9304-1
7 JANKOVIĆ S, HAMLETT T R. New topologies from old via ideals[J]. The American Mathematical Monthly, 1990, 97(4): 295-310. DOI: 10.1080/00029890.1990.11995593
doi: 10.1080/00029890.1990.11995593
8 LI Z W, LU S Z. On ℐ -scattered spaces[J]. Bulletin of the Korean Mathematical Society, 2014, 51(3): 667-680. DOI: 10.4134/BKMS.2014.51.3.667
doi: 10.4134/BKMS.2014.51.3.667
9 GANESAN S. Micro ideal generalized closed sets in micro ideal topological spaces[J]. The International Journal of Analytical and Experimental Modal Analysis, 2020, 12(5): 1417-1437.
10 KOAM A N A, IBEDOU I, ABBAS S E. Fuzzy ideal topological spaces[J]. Journal of Intelligent & Fuzzy Systems, 2019, 36(6): 5919-5928. DOI: 10. 3233/JIFS-181752
doi: 10. 3233/JIFS-181752
11 DOUWEN E K V, PFEFFER W F. Some properties of the Sorgenfrey line and related spaces[J]. Pacific Journal of Mathematics, 1979, 81(2): 371-377. DOI:10.2140/PJM.1979.81.371
doi: 10.2140/PJM.1979.81.371
12 ARHANGEL'SKII A V. Addition theorems and D-spaces[J]. Commentationes Mathematicae Universitatis Carolinae, 2002, 43(4): 653-663.
13 ARHANGEL'SKII A V. D-spaces and covering properties[J]. Topology and its Applications, 2005, 146-147:437-449. DOI:10.1016/j.topol.2003.08.029
doi: 10.1016/j.topol.2003.08.029
14 PENG L X, WANG H. A study on D-spaces and the metrizability of compact spaces with property ( σ -A)[J]. Topology and Its Applications, 2021, 301: 107534. DOI:10.1016/j.topol.2020.107534
doi: 10.1016/j.topol.2020.107534
15 高国士. 拓扑空间论[M]. 北京: 科学出版社, 2008: 7-20.
GAO G S. Topological Space Theory[M]. Beijing: Science Press, 2008: 7-20.
16 HAYASHI E. Topologies defined by local properties[J]. Mathematische Annalen, 1964, 156(3): 205-215. DOI:10.1007/BF01363287
doi: 10.1007/BF01363287
[1] 卢家品, 罗月童, 黄兆嵩, 张延孔, 陈为. 基于排名学习和多源信息的地图匹配方法[J]. 浙江大学学报(理学版), 2020, 47(1): 27-35.