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Bipolar Fuzzy Dot Structures on Subalgebras of a β-Algebra

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  • Beza Lamesgin Derseh
  • Liuel Anteneh Worku

Abstract

In this article, we present the concepts of bipolar fuzzy dot β-subalgebras (BFD β-SAs) within the context of β-algebra and explore their associated characteristics. We establish the connections between a BF β-SA and a BFD β-SA. We examine the homomorphic and inverse images of BFD β-SAs and prominent results. Furthermore, we provide insights into the Cartesian product of BFD β-SAs and derive some related results. Finally, we consider the bipolar fuzzy dot relations on β-subalgebras and explore their related characteristics.

Suggested Citation

  • Beza Lamesgin Derseh & Liuel Anteneh Worku, 2026. "Bipolar Fuzzy Dot Structures on Subalgebras of a β-Algebra," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2026, pages 1-8, June.
    • Handle: RePEc:hin:jijmms:2155542
    DOI: 10.1155/ijmm/2155542
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