L-fuzzy N-convergence structures

Bin Pang; Yi Zhao

doi:10.3233/IFS-152021

L-fuzzy N-convergence structures

Bin Pang, Yi Zhao^*

^*Corresponding author for this work

School of Mathematics and Statistics

Harbin Institute of Technology

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Based on a completely distributive lattice L, the concept of L-fuzzy N-convergence structures is introduced. It is shown that the category of L-fuzzy topological spaces can be embedded in the category of L-fuzzy N-convergence spaces. It is also proved the category of (topological) pretopological L-fuzzy N-convergence spaces is isomorphic to the category of (topological) L-fuzzy neighborhood spaces and the former is a bireflective subcategory of the category of L-fuzzy N-convergence spaces.

Original language	English
Pages (from-to)	3033-3043
Number of pages	11
Journal	Journal of Intelligent and Fuzzy Systems
Volume	30
Issue number	5
DOIs	https://doi.org/10.3233/IFS-152021
Publication status	Published - 2 Apr 2016

Keywords

L-filter
L-fuzzy N-convergence structure
L-fuzzy neighborhood system
L-fuzzy topology
category theory

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10.3233/IFS-152021

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AB - Based on a completely distributive lattice L, the concept of L-fuzzy N-convergence structures is introduced. It is shown that the category of L-fuzzy topological spaces can be embedded in the category of L-fuzzy N-convergence spaces. It is also proved the category of (topological) pretopological L-fuzzy N-convergence spaces is isomorphic to the category of (topological) L-fuzzy neighborhood spaces and the former is a bireflective subcategory of the category of L-fuzzy N-convergence spaces.

KW - L-filter

KW - L-fuzzy N-convergence structure

KW - L-fuzzy neighborhood system

KW - L-fuzzy topology

KW - category theory

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IS - 5

ER -

L-fuzzy N-convergence structures

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Keywords

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