| Title: | SBE-algebras via intuitionistic fuzzy structures |
|---|
| Authors: | ID Oner, Tahsin (Author)
ID Bordbar, Hashem (Author)
ID Rajesh, Neelamegarajan (Author)
ID Rezaei, Akbar (Author) |
|---|
| Files: |  mathematics-12-04038-v2.pdf (338,30 KB)
MD5: 59BAF7E1D1B27399B9EB3B259CC5D84B
 https://www.mdpi.com/2227-7390/12/24/4038
|
|---|
| Language: | English |
|---|
| Work type: | Unknown |
|---|
| Typology: | 1.01 - Original Scientific Article |
|---|
| Organization: | UNG - University of Nova Gorica
|
|---|
| Abstract: | The study introduces the concept of intuitionistic fuzzy SBE-subalgebras, ideals, and filters, along with level sets of intuitionistic fuzzy sets within the framework of Sheffer stroke BE-algebras. These concepts are shown to be crucial for understanding the behavior of intuitionistic fuzzy logic in this algebraic structure. The study further establishes a bidirectional relationship between subalgebras, ideals, filters, and their respective level sets on Sheffer stroke BE-algebras, demonstrating that the level set of an intuitionistic fuzzy SBE-subalgebra, ideal, or filter is itself a subalgebra, ideal, or filter on this algebra, and vice versa. |
|---|
| Keywords: | BE-algebra, Sheffer stroke BE-algebra, BE-ideal, intuitionistic fuzzy SBE-subalgebra, intuitionistic fuzzy SBE-ideal |
|---|
| Publication status: | Published |
|---|
| Publication version: | Version of Record |
|---|
| Publication date: | 01.01.2024 |
|---|
| Year of publishing: | 2024 |
|---|
| Number of pages: | str. 1-26 |
|---|
| Numbering: | Vol. 12, issue 24, [article no.] 4038 |
|---|
| PID: | 20.500.12556/RUNG-9579  |
|---|
| COBISS.SI-ID: | 220931331 |
|---|
| UDC: | 51 |
|---|
| ISSN on article: | 2227-7390 |
|---|
| DOI: | 10.3390/math12244038 |
|---|
| NUK URN: | URN:SI:UNG:REP:ZPRR9KWZ |
|---|
| Publication date in RUNG: | 06.01.2025 |
|---|
| Views: | 216 |
|---|
| Downloads: | 2 |
|---|
| Metadata: |    |
|---|
|
:
|
Copy citation |
|---|
| | | | Average score: | (0 votes) |
|---|
| Your score: | Voting is allowed only for logged in users. |
|---|
| Share: |  |
|---|
Hover the mouse pointer over a document title to show the abstract or click
on the title to get all document metadata. |
