L-fuzzy拓扑空间中的相对良紧性

数学季刊 ›› 2005, Vol. 20 ›› Issue (4): 350-354.

L-fuzzy拓扑空间中的相对良紧性

1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China; 2. Department of Mathematics, Weinan Teacher's College, Weinan 714000, China

收稿日期:2003-10-15 出版日期:2005-12-30 发布日期:2024-01-03
作者简介:LI Yao-long(1970-),male,native of Weinan,Shaanxi,a lecturer of Weinan Teacher's College, doctor degree canditate of Shaanxi Normal University,engages in lattices and topology.
基金资助:
Supported by the National Natural Science Foundation of China(10271069)； Supported by the Science Foundation of Weinan Teacher’s College(03YKS002)；

Relative N-compactness in L-fuzzy Topological Spaces

1. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, China; 2. Department of Mathematics, Weinan Teacher's College, Weinan 714000, China

Received:2003-10-15 Online:2005-12-30 Published:2024-01-03
About author:LI Yao-long(1970-),male,native of Weinan,Shaanxi,a lecturer of Weinan Teacher's College, doctor degree canditate of Shaanxi Normal University,engages in lattices and topology.
Supported by:
Supported by the National Natural Science Foundation of China(10271069)； Supported by the Science Foundation of Weinan Teacher’s College(03YKS002)；

摘要/Abstract

摘要： The concept of relative N-compactness is defined and characterized in terms of nets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy sets and the relative N-compactness is L-good extension. Some connections between the N-compactness and the relative N-compactness are investigated. It is also proved that induced relative N-compact spaces are productive, and the product of finite relative compact sets is relative compact.

关键词: Fuzzy , topology;Fuzzy , set;relative , N-compactness;remote , neighborhood, molecule;net

Abstract: The concept of relative N-compactness is defined and characterized in terms of nets. It is shown that the relative N-compactness is hereditary with respect to L-fuzzy sets and the relative N-compactness is L-good extension. Some connections between the N-compactness and the relative N-compactness are investigated. It is also proved that induced relative N-compact spaces are productive, and the product of finite relative compact sets is relative compact.

Key words: Fuzzy , topology;Fuzzy , set;relative , N-compactness;remote , neighborhood, molecule;net

中图分类号:

O189.13

李尧龙, 李生刚. L-fuzzy拓扑空间中的相对良紧性[J]. 数学季刊, 2005, 20(4): 350-354.

LI Yao-long, LI Sheng-gang. Relative N-compactness in L-fuzzy Topological Spaces[J]. Chinese Quarterly Journal of Mathematics, 2005, 20(4): 350-354.

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[2]	闫广霞, 米洪海, 施雅婷 . Fuzzy幂群与Fuzzy商群的相互关系[J]. 数学季刊, 2006, 21(4): 493-496.
[3]	杨万才, 李小申. 广义直觉模糊集的范畴[J]. 数学季刊, 2005, 20(2): 192-199.
[4]	梁洪亮, 杨巍纳. 关于度量空间的σ-映象[J]. 数学季刊, 2005, 20(2): 163-166.
[5]	卿铭, 曹悦, 黄天民. 模糊熵：公理化定义和神经网络模型[J]. 数学季刊, 2004, 19(3): 319-322.
[6]	李克典, 任学军, 菅典兵. 关于点可数序列领域网[J]. 数学季刊, 1999, 14(3): 88-91.
[7]	严从华. 完备格TVS与LFTVS间的两个生成映射ω_L ， l_L[J]. 数学季刊, 1997, 12(2): 70-74.