Volume 26 , Issue 3 , PP: 302-313, 2025 | Cite this article as | XML | Html | PDF | Full Length Article
Anas Al-Masarwah 1 * , Fawziah Alharthi 2 , Noor Bani Abd Al-Rahman 3
Doi: https://doi.org/10.54216/IJNS.260322
Recent years have witnessed remarkable developments in fuzzy logic, with interval-valued fuzziness and negative structures emerging as powerful tools for modeling inaccurate phenomena. The crossing cubic structures (CCs), as a generalization of the bipolar fuzziness structures, represent a comprehensive mathematical framework capable of dealing with a wide range of fuzziness and contradictory data, thus expanding research prospects in this area. This paper has made a new contribution to some algebraic structures by investigating the concept of CCs on algebraic substructures in a hoop algebra. The concepts of crossing cubic sub-hoops (CC − SHs) and crossing cubic filters (CCFs) are introduced, and a deeper understanding is sought to analyze their characteristics. The effect on the relationship between CC − SHs and CCFs is revealed, and the characterizations of CC − SHs and CCFs are analyzed.
Hoop algebras , Sub-Hoops , Filters , Crossing cubic structures , Crossing cubic sub-hoops , Crossing cubic filters
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