On fuzzy upper and lower α-ℓ-continuity and their decomposition
Abstract
The main purpose of this paper is to introduce and study the concepts of fuzzy upper and lower α-ℓ-continuous (resp. β-ℓ-continuous, semi-ℓ-continuous and pre-ℓ-continuous) multifunctions via fuzzy ideals. Several properties of these multifunctions along with their mutual relationships are established with the help of examples. Also, we give the decomposition of fuzzy upper (resp. lower) α-ℓ-continuity and the decomposition of fuzzy upper (resp. lower) ℓ-continuity [15]. Later, we introduce new types of r-fuzzy compactness in a fuzzy ideal topological space (X, τ, ℓ) based on the sense of Sostak.
Copyright © 2020 I. M. Taha. 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
I. M. Taha, On fuzzy upper and lower α-ℓ-continuity and their decomposition, J. Math. Comput. Sci. 11 (2021), 427–441. https://doi.org/10.28919/jmcs/5107
BibTeX
@article{Taha2021,
author = {Taha, I. M.},
title = {On fuzzy upper and lower α-ℓ-continuity and their decomposition},
journal = {J. Math. Comput. Sci.},
volume = {11},
year = {2021},
pages = {427--441},
doi = {10.28919/jmcs/5107}
}