Quasi-coincident neighborhood structure of relative I-fuzzy topology and its applications

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 2012 English Publisher:Elsevier BVJournal:Fuzzy Sets and Systems, volume 190, pages 105-117 (issn: 0165-0114,

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Authors: Jinming Fang; Yuanmei Guo;

doi: 10.1016/j.fss.2011.08.008

Quasi-coincident neighborhood structure of relative I-fuzzy topology and its applications

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Abstract

In this paper it is shown that relative \(I\)-fuzzy topology and relative \(I\)-fuzzy quasi-coincident neithborhood system can be obtained one from the other. First countable, second countability and separability degree of \(I\)-fuzzy topological space are investigated by using relative \(I\)-fuzzy quasi-coincident neighborhood systems.

Related Organizations

Ocean University of China
China (People's Republic of)

Keywords

Fuzzy topology, relative \(I\)-fuzzy topology, relative \(I\)-fuzzy quasi-coincident, neighborhood systems

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