Translations and extensions of fuzzy Sheffer stroke $BE$-filters and $BE$-subalgebrasTranslations and extensions of fuzzy Sheffer stroke BE-filters and BE-subalgebras
- Other Titles
- Translations and extensions of fuzzy Sheffer stroke BE-filters and BE-subalgebras
- Authors
- Seok Zun Song; Y. B. Jun; M. A. Ozturk
- Issue Date
- Jun-2025
- Publisher
- (주) 경문사
- Keywords
- (Normalized) fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra; γ-translation; S-extension; F-extension
- Citation
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v.29, no.3, pp 249 - 266
- Pages
- 18
- Indexed
- KCI
- Journal Title
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
- Volume
- 29
- Number
- 3
- Start Page
- 249
- End Page
- 266
- URI
- https://scholarworks.gnu.ac.kr/handle/sw.gnu/79080
- DOI
- 10.30948/afmi.2025.29.3.249
- ISSN
- 2093-9310
2287-6235
- Abstract
- The first aim of this article is to investigate the further properties of fuzzy Sheffer stroke $BE$-filters/BE-subalgebras. Next, concepts of normalized fuzzy Sheffer stroke $BE$-filters/$BE$-subalgebras, translations and extensions are introduced and related properties are studied. Characterizations of a fuzzy Sheffer stroke $BE$-filters are considered, and the conditions under which the fuzzy set which is maded by the upper set can be a fuzzy Sheffer stroke $BE$-filter are explored. How to configure a fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra using a collection of Sheffer stroke $BE$-filters/$BE$-subalgebras is displayed. The methods of constructing the normalization of a given fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra are given. Relations between a fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra and its normalization are discussed, and extensions of a fuzzy Sheffer stroke $BE$-filter/$BE$-subalgebra are established.
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