On Fuzzy Feebly Compact Space

Abstract

The object of this work to introduce a new form of fuzzy compact space in a fuzzy topological space, named by fuzzy feebly compact space. It is stronger than a fuzzy compact space. We investigated the properties of fuzzy feebly compact in a fuzzy topological space. Important mathematical concepts were relied upon to prove the properties of fuzzy feebly compact such as the net, the sub net, the filter and the finite intersection property. The concept of fuzzy feebly density and its dependence in feebly compact space has also been introduced. Finally, the subspace of fuzzy feebly space was discussed.

Keywords

• fuzzy feebly compact space, feebly open , feebly closed and feebly neighborhood.