U-convergence and L-fuzzy U-sets

doi:10.1016/0020-0255(95)00125-5

Information Sciences

Volume 87, Issue 4, November 1995, Pages 205-213

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Abstract

In this paper, the concepts of U-convergence of molecular nets and fuzzy filters and L-fuzzy U-sets in L-fuzzy topological spaces are introduced. Their characterizations and mutual relationships are systematically discussed. Some interesting results are obtained.

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Urysohn separation property in topological molecular lattices
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The theory of topological molecular lattices, which is a generalization of the theories of point set topology, fuzzy topology and $L$ -fuzzy topology, is established by Wang. In this paper, the concepts of some kinds of Urysohn separation axioms in topological molecular lattices are introduced and systematically discussed. Several important results, such as the $U_{i} (i =−1,0,1,2,3,4)$ , Urysohn regular and Urysohn normal separation properties are both hereditary and topological invariant, etc., are given.
SR-convergence theory in fuzzy lattices
2000, Information Sciences
Convergence theory and order-homomorphisms theory are two important objects of study in fuzzy lattices. In this paper, SR-convergence theory for molecular nets and ideals is established, and the concepts of R-irresolute, SR-continuous and almost irresolute order-homomorphisms in topological molecular lattices are introduced and systematically characterized. Some mutual relations between these concepts and others are obtained.
ωθ- convergence theory of nets in Lω- spaces
2009, Advances in Soft Computing
ω-Convergence theory of filters in Lω -spaces
2008, Fuzzy Optimization and Decision Making
ω-convergence theory of filters in Lω-spaces
2007, Advances in Soft Computing
On ω-molecular lattices
2005, 2005 International Conference on Machine Learning and Cybernetics, ICMLC 2005

View full text

U-convergence and L-fuzzy U-sets

Abstract

J. Math. Anal. Appl.

Fuzzy Sets and Systems

Inform. and Control

Theory of L-fuzzy H-sets

Fuzzy Sets and Systems

Fuzzy Urysohn spaces and α-stratified fuzzy Urysohn spaces

Theory of R-convergence of nets on fuzzy lattices and its applications

BUSEFAL

Almost F-compactness in L-fuzzy topological spaces

J. Northeastern Math.