On Fuzzy C-Paracompact Topological Spaces

Abstract

The aim of this paper is to study fuzzy extensions of some covering properties defined by A. V. Arhangel’skii and studied by other authors. Indeed, in 2016, A. V. Arhangel’skii defined other paracompact-type properties: C-paracompactness and C2-paracompactness. Later, M. M. Saeed, L. Kalantan and H. Alzumi investigated these two properties. In this paper, we define fuzzy extensions of these notions and obtain results about them, and in particular, prove that these are good extensions of those defined by Arhangel’skii.