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( ∈ ´ , ∈ ´ ∨ q ´ k ˇ )-Uni-Intuitionistic Fuzzy Soft h-Ideals in Subtraction BG-Algebras

Author

Listed:
  • Manivannan Balamurugan

    (Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R&D Institute of Science and Technology, Chennai 600 062, Tamil Nadu, India)

  • Nazek Alessa

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Karuppusamy Loganathan

    (Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, India)

  • Neela Amar Nath

    (Department of Science and Humanities, MLR Institute of Technology, Hyderabad 500043, Telangana, India)

Abstract

The main purpose of the present paper is to introduced the notions of ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S S A s in subtraction BG-algebras. We provide different characterizations and some equivalent conditions of ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S S A s in terms of the level subsets of subtraction BG-algebras. It has been revealed that the ( q ´ , q ´ ) - U I F S S A are ( ∈ ´ , ∈ ´ ) - U I F S S A but the converse does not hold and an example is provided. We introduced ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S I D s and its some usual properties. In addition, h − 1 ( N ˜ [ ς ] ) is ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S I D . Moreover, if h − 1 ( N ˜ [ ς ] ) are an ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S I D , then N ˜ [ ς ] are an ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S I D . Finally, we characterize ( ∈ ´ , ∈ ´ ∨ q ´ k ˇ ) - U I F S H I D which is a generalization of ( ∈ ´ , ∈ ´ ∨ q ´ ) - U I F S H I D .

Suggested Citation

  • Manivannan Balamurugan & Nazek Alessa & Karuppusamy Loganathan & Neela Amar Nath, 2023. "( ∈ ´ , ∈ ´ ∨ q ´ k ˇ )-Uni-Intuitionistic Fuzzy Soft h-Ideals in Subtraction BG-Algebras," Mathematics, MDPI, vol. 11(10), pages 1-15, May.
  • Handle: RePEc:gam:jmathe:v:11:y:2023:i:10:p:2296-:d:1147225
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    References listed on IDEAS

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    1. Anas Al-Masarwah & Abd Ghafur Ahmad & G. Muhiuddin & D. Al-Kadi & Feng Feng, 2021. "Generalized m-Polar Fuzzy Positive Implicative Ideals of BCK-Algebras," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, February.
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