Covering properties in intuitionistic fuzzy topological spaces

Abstract

Purpose

D.Çoker constructed the fundamental theory of intuitionistic fuzzy topological spaces. The purpose of this paper is to introduce a new concept of compactness and a definition of paracompactness for intuitionistic fuzzy topological spaces, and obtain several preservation properties.

Design/methodology/approach

Two new covering properties in intuitionistic fuzzy topological spaces are defined and studied.

Findings

Relations on these new properties and covering properties on fuzzy topology in the Chang's sense are obtained.

Research/limitations/implications

Clearly, this paper is devoted to intuitionistic fuzzy topological spaces.

Practical implications

The main applications are in the mathematical field.

Originality/value

The paper shows original results on fuzzy topology.

Citation

Gallego Lupiáñez, F. (2007), "Covering properties in intuitionistic fuzzy topological spaces", Kybernetes, Vol. 36 No. 5/6, pp. 749-753. https://doi.org/10.1108/03684920710749811