Degrees of fuzzy compactness in L-fuzzy topological spaces

Authors:
Hong-Yan Li;Fu-Gui Shi
Affiliations:
School of Mathematics and Information Science, Shandong Institute of Business and Technology, Yantai 264005, PR China;Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, PR China
Venue:
Fuzzy Sets and Systems
Year:
2010

Citing 13
Cited 0

A new approach for fuzzy topology (I)

Fuzzy Sets and Systems
Point-set lattice-theoretic topology

Fuzzy Sets and Systems - Special memorial volume on mathematical aspects of fuzzy set theory
Theory of topological molecular lattices

Fuzzy Sets and Systems
Compactness in fuzzifying topology

Fuzzy Sets and Systems
A general theory of fuzzy topological spaces

Fuzzy Sets and Systems - Special issue on fuzzy topology
On several types of degree of fuzzy compactness

Fuzzy Sets and Systems
Categories isomorphic to FNS

Fuzzy Sets and Systems - Special issue on categorical methods and techniques in fuzzy mathematics
Measures of noncompactness for fuzzy sets in fuzzy topological spaces

Fuzzy Sets and Systems
Degrees of compactness in fuzzy convergence spaces

Fuzzy Sets and Systems
A new definition of fuzzy compactness

Fuzzy Sets and Systems
Categories isomorphic to L-FTOP

Fuzzy Sets and Systems
Generated I-fuzzy topological spaces

Fuzzy Sets and Systems
A new notion of fuzzy compactness in L-topological spaces

Information Sciences: an International Journal

Quantified Score

Hi-index	0.20

Visualization

Abstract

In this paper, we introduce the notion of the degree of fuzzy compactness in L-fuzzy topological spaces by means of an inequality proposed by Shi in 2007. The notion is a generalization of the definition of fuzzy compactness in L-topological spaces. Some properties of this new notion are researched. The Tychonoff theorem is generalized. It is pointed out that our notion is not equivalent to other definition of degree of compactness.