@article{Abushaaban2025, 
author = {Amal T. Abushaaban and O. A. Embaby and Abdelfattah A. El-Atik},
title = {Modern classes of fuzzy    α-covering via rough sets over two distinct finite sets},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {2},
pages = {2131-2162},
keywords = {rough sets, fuzzy α-neighborhoods, fuzzy α-coverings},
url = {https://www.sciopen.com/article/10.3934/math.2025100},
doi = {10.3934/math.2025100},
abstract = {Following the research of Yang and Atef proposing new classes of fuzzy    β-covering via rough sets types over 2-featured universes, we present some modern classes of fuzzy    α-covering via rough sets over two distinct finite sets using fuzzy    α-neighborhoods for two distinct points over 2-distinct finite universes. Throughout this research, we present the ideas of the fuzzy    α-neighborhood system and the fuzzy    α-neighborhood for two distinct points over two distinct finite sets and investigate the relations of the fuzzy    α-neighborhood system, fuzzy    α-minimal and    α-maximal descriptions over two distinct finite sets. Moreover, some kinds of fuzzy    α-neighborhoods are proposed. In addition, some new types of fuzzy    α-coverings over two finite sets are established. Finally, numerous topological characteristics of fuzzy    α-covering via rough set types are investigated.}
}