L-fuzzy Q-convergence structures

doi:10.1016/j.fss.2011.04.003

2011-11-01

PRE

庞斌 (Bin Pang)

Jinming Fang *

DOI：10.1016/j.fss.2011.04.003

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摘要

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In this paper, we construct a topological category of pretopological L-fuzzy Q-convergence spaces, which contains the category of topological L-fuzzy Q-convergence spaces as a bireflective full subcategory. Considering the connections with L-fuzzy topology, it is proved that the category of topological L-fuzzy Q-convergence spaces is isomorphic to the category of topological L-fuzzy quasi-coincident neighborhood spaces, and the latter is isomorphic to the category of topological spaces. Moreover, we find that our pretopological L-fuzzy Q-convergence spaces can be characterized as a kind of L-fuzzy quasi-coincident neighborhood spaces, which is called strong L-fuzzy quasi-coincident neighborhood space. (C) 2011 Elsevier B.V. All rights reserved.

Keyword:

Fuzzy convergence

L-fuzzy topology

L-filter

L-fuzzy quasi-coincident system

Isomorphic category