Abstract
By applying the concept of Łukasiewicz fuzzy set to BE-algebras, the notions of Łukasiewicz fuzzy BE-algebra and Łukasiewicz fuzzy BE-filter are introduced, and their properties are investigated. Characterizations of Łukasiewicz fuzzy BE-algebra and Łukasiewicz fuzzy BE-filter are discussed, and the relationship between fuzzy BE-algebra (resp., fuzzy BE-filter) and Łukasiewicz fuzzy BE-algebra (resp., Łukasiewicz fuzzy BE-filter) is established. The conditions for the ∈-set, q-set and O-set of Łukasiewicz fuzzy set to be BE-subalgebras are explored. Lukasiewicz fuzzy BE-filter is created by using BE-filter.
| Original language | English |
|---|---|
| Pages (from-to) | 924-937 |
| Number of pages | 14 |
| Journal | European Journal of Pure and Applied Mathematics |
| Volume | 15 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2022 |
Keywords
- O-set
- q-set
- Łukasiewicz fuzzy BE-algebra
- Łukasiewicz fuzzy BE-filter
- ∈-set
Fingerprint
Dive into the research topics of 'Łukasiewicz fuzzy BE-algebras and BE-filters'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver