Topology of interval-valued fuzzy sets

被引：0

作者：

Mondal, TK ^{[1
]}

Samanta, SK ^{[1
]}

机构：

[1] Visva Bharati Univ, Dept Math, Santiniketan 731235, W Bengal, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 1999年 / 30卷 / 01期

关键词：

interval-valued fuzzy sets; fuzzy topology; topology of fuzzy sets;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper topology of interval-valued fuzzy sets is defined and some of its properties are studied. It is shown that the category of topological spaces of interval-valued fuzzy sets and continuous functions forms a topological category.

引用

页码：23 / 38

页数：16

共 6 条

[1] FUZZY TOPOLOGY ON FUZZY-SETS AND TOLERANCE TOPOLOGY
CHAKRABORTY, MK
AHSANULLAH, TMG
[J]. FUZZY SETS AND SYSTEMS, 1992, 45 (01) : 103 - 108
[2] FUZZY TOPOLOGICAL SPACES
CHANG, CL
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1968, 24 (01) : 182 - &
[3] KELLEY JL, GEN TOPOLOGY, P139
[4] FUZZY TOPOLOGICAL-SPACES AND FUZZY COMPACTNESS
LOWEN, R
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 56 (03) : 621 - 633
[5] PAOMING P, 1980, J MATH ANAL APPL, V76, P571
[6] ZADEH LA, 1975, INFORM SCIENCES, V8, P199, DOI [10.1016/0020-0255(75)90036-5, 10.1016/0020-0255(75)90046-8]

← 1 →