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The fuzzy neighborhood structures

A. A. Ramadan, M. A. Abdel-Sattar, Y. C. Kim


In this article we introduce the concept of fuzzy neighborhood systems with the help of quasi-coincidence
due to Pu and Liu in the fuzzy topology. We give a new characterization of a fuzzy cluster, fuzzy limit
points, fuzzy continuous mappings, fuzzy convergent nets and the convergence of fuzzy filter in terms
of fuzzy neighborhood structures and study some of their properties.


Fuzzy points, quasi-neighborhood systems, cluster points, limit points, continuous mappings.

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