Volume 26 • Issue 3 • PP: 302-313 • 2025
Crossing Cubic Structures Applied to Hoop Algebras
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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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.
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