|Table of Contents|

S*-Connectedness L-Topological Spaces(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年02期
Page:
8-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
S*-Connectedness L-Topological Spaces
Author(s):
Pan Wei1; Xu Zhenguo2
(1.School of Mathematic Science,Mudanjiang Normal University,Mudanjiang 157011,China)(2.National Science and Technology Infrastructure Center,Beijing 100862,China)
Keywords:
L-topological spaces; L-semiopen set; L-semiclosed set; S*-connectedness; S-connectedness; Fanji theorem
PACS:
O189.2
DOI:
10.3969/j.issn.1001-4616.2018.02.002
Abstract:
In this paper,the concept of S*-connectedness is introduced in L-topological spaces by means of semi-open L-sets and semi-closed L-sets. Equivalent characterizations of the S*-connectedness are given. Moreover,the relations among S*-connectedness and S-connectedness are discussed.

References:

[1] 王国民,史福贵. L-fuzzy空间的局部连通性[J]. 模糊系统与数学,1996,4:51-55.
[2]刘念,伏文清,李生刚. L-预拓扑空间的强连通集和局部强连通L-预拓扑空间[J]. 模糊系统与数学,2013,27(3):59-62.
[3]王国俊. L-fuzzy拓扑空间论[M]. 西安:陕西师范大学出版社,1988.
[4]王小霞,姜金平. L-fuzzy拓扑空间论[M]. 西安:陕西师范大学出版社,1988.
[4]王小霞,姜金平. 扑空间中几类连通性机器等价刻画[J]. 河南科学,2013,31:1343-1345.
[5]AZAD K K. On fuzzy semicontinuity,fuzzy almost continuity and fuzzy weakly continuity[J]. J Math Anal Appl,1981,82:14-32. [6]CHANG C L. Fuzzy topological spaces[J]. Journal of mathematical analysis and applications,1968,24:182-190.

Memo

Memo:
-
Last Update: 2018-11-06