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

Manivannan Balamurugan, Nazek Alessa (), Karuppusamy Loganathan () and Neela Amar Nath
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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

Mathematics, 2023, vol. 11, issue 10, 1-15

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 .

Keywords: subtraction BG-algebra; ( ? ´ , ? ´ ? q ´ ) - U I F S S A; ( ? ´ , ? ´ ) - U I F S S A; ( ? ´ , ? ´ ? q ´ ) - U I F S I D; ( ? ´ , ? ´ ? q ´ k ? ) - U I F S H I D; ( ? ´ , ? ´ ) - U I F S I D (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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