A new approach for fuzzy topology (I)
Fuzzy Sets and Systems
A new approach for fuzzy topology (II)
Fuzzy Sets and Systems
On the method of neighborhood systems in fuzzy topology
Fuzzy Sets and Systems
A general theory of fuzzy topological spaces
Fuzzy Sets and Systems - Special issue on fuzzy topology
Compactness and connectedness as absolute properties in fuzzy topological spaces
Fuzzy Sets and Systems
Some remarks on fuzzy powerset operators
Fuzzy Sets and Systems
L-fuzzy interiors and L-fuzzy closures
Fuzzy Sets and Systems
Separation axioms and the fuzzy real lines
Fuzzy Sets and Systems
Countability axioms in I-fuzzy topological spaces
Fuzzy Sets and Systems
Categories isomorphic to L-FTOP
Fuzzy Sets and Systems
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In this paper, we consider the topic of the quasi-coincident neighborhood structure of relative I-fuzzy topology on a fuzzy subset in the sense of Guido. First we establish a kind of quasi-coincident relation on any fuzzy subset, and construct a kind of neighborhood system, called relative I-fuzzy quasi-coincident neighborhood system. Then, we find that relative I-fuzzy topology and relative I-fuzzy quasi-coincident neighborhood system can be obtained one from the other. Furthermore, as an application of relative I-fuzzy quasi-coincident neighborhood systems, the first countability, the second countability, and the separability degree of relative I-fuzzy topological space are investigated.