@article{Abd Al-Rahman2025, 
author = {Noor Bani Abd Al-Rahman and Anas Al-Masarwah and Abd Ulazeez Alkouri},
title = {Algebraic Aspects of Crossing Cubic BE-Algebras},
year = {2025},
journal = {Fuzzy Information and Engineering},
volume = {17},
number = {1},
pages = {20-38},
keywords = {BE-algebras, crossing cubic structures, crossing cubic subalgebras, weak crossing cubic subalgebras, crossing cubic filters},
url = {https://www.sciopen.com/article/10.26599/FIE.2025.9270051},
doi = {10.26599/FIE.2025.9270051},
abstract = {Recently, interval-valued fuzziness and negative structures have gained popularity among researchers and have been widely used in algebraic structures such as semigroups, rings, and lattices. The crossing cubic structure ( CC) is an expansion of a bipolar fuzziness structure and a parallel circuit between interval-valued fuzziness and negative structures. The main objective of this study is to apply the idea of  CCs to BE-algebras. In the present research, we modify and extend the notions of fuzziness algebraic substructures, namely subalgebras, weak subalgebras and filters of BE-algebras to introduce the notions of crossing cubic subalgebras ( CCSs), weak crossing cubic subalgebras ( WCCSs), and crossing cubic filters ( CCFs) in BE-algebras, and we probe several characteristics of these notions. Furthermore, the relationship between  CCSs,  WCCSs, and  CCFs in BE-algebras is established. After that, the conditions under which  CCs can be  CCS and  CCF, and the condition under which  WCCS can be  CCS are discovered. At last, some characterizations of  CCF in BE-algebras are presented.}
}