Certain prominence of partially Qα-compact fuzzy sets
Abstract
In this paper, we define notions of partially Qα-cover, shortly pQα-cover and partially Qα-compact, shortly pQα-compact fuzzy sets. Also, we established some theorems about our notion in fuzzy topological spaces, fuzzy subspaces, fuzzy T1-spaces and fuzzy T2-spaces (Hausdorff spaces) and various prominence in fuzzy topological spaces. Finally, we shown that our notion does not satisfies “good extension” property.
Copyright © 2021 M. A. M. Talukder, Nusrat Jahan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
M. A. M. Talukder, N. Jahan, Certain prominence of partially Qα-compact fuzzy sets, J. Math. Comput. Sci. 11 (2021), 3010–3026. https://doi.org/10.28919/jmcs/5598
BibTeX
@article{Talukder2021,
author = {Talukder, M. A. M. and Jahan, Nusrat},
title = {Certain prominence of partially Qα-compact fuzzy sets},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {3010--3026},
doi = {10.28919/jmcs/5598}
}