Mathematics (May 2023)
(<inline-formula><math display="inline"><semantics><mrow><mover accent="true"><mo mathvariant="bold">∈</mo><mo mathvariant="bold">´</mo></mover><mo mathvariant="bold">,</mo><mover accent="true"><mo mathvariant="bold">∈</mo><mo mathvariant="bold">´</mo></mover><mo mathvariant="bold">∨</mo><msub><mover accent="true"><mi mathvariant="bold-italic">q</mi><mo mathvariant="bold">´</mo></mover><mover accent="true"><mi mathvariant="bold-italic">k</mi><mo mathvariant="bold">ˇ</mo></mover></msub></mrow></semantics></math></inline-formula>)-Uni-Intuitionistic Fuzzy Soft h-Ideals in Subtraction BG-Algebras
- Manivannan Balamurugan,
- Nazek Alessa,
- Karuppusamy Loganathan,
- Neela Amar Nath
Affiliations
- 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
- DOI
- https://doi.org/10.3390/math11102296
- Journal volume & issue
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Vol. 11,
no. 10
p. 2296
Abstract
The main purpose of the present paper is to introduced the notions of (∈´,∈´∨q´)-UIFSSAs in subtraction BG-algebras. We provide different characterizations and some equivalent conditions of (∈´,∈´∨q´)-UIFSSAs in terms of the level subsets of subtraction BG-algebras. It has been revealed that the (q´,q´)-UIFSSA are (∈´,∈´)-UIFSSA but the converse does not hold and an example is provided. We introduced (∈´,∈´∨q´)-UIFSIDs and its some usual properties. In addition, h−1(N˜[ς]) is (∈´,∈´∨q´)-UIFSID. Moreover, if h−1(N˜[ς]) are an (∈´,∈´∨q´)-UIFSID, then N˜[ς] are an (∈´,∈´∨q´)-UIFSID. Finally, we characterize (∈´,∈´∨q´kˇ)-UIFSHID which is a generalization of (∈´,∈´∨q´)-UIFSHID.
Keywords
- subtraction BG-algebra
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