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A Novel Study on Ordered Anti-Involution LA-Semihypergroups

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  • Nabilah Abughazalah
  • Naveed Yaqoob
  • Tareq Al-shami

Abstract

In this study, we introduce a new concept called “anti-involution†in relation to ordered LA-semihypergroups. An anti-involution is basically an involuntary automorphism, which is just a fancy term for a mathematical function that can be reversed. We looked at several fundamental results before introducing anti-involution hyperideals. We studied the anti-involution hyperideals of ordered anti-involution LA-semihypergroups using the rough set theory. In an ordered anti-involution LA-semihypergroup, the Ï -upper and Ï -lower rough approximations of anti-involution hyperideals are an anti-involution hyperideals.

Suggested Citation

  • Nabilah Abughazalah & Naveed Yaqoob & Tareq Al-shami, 2023. "A Novel Study on Ordered Anti-Involution LA-Semihypergroups," Journal of Mathematics, Hindawi, vol. 2023, pages 1-9, March.
    • Handle: RePEc:hin:jjmath:6972483
    DOI: 10.1155/2023/6972483
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