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Subalgebras of Sheffer Stroke BCK-Algebras Illuminated by the New Fuzzy Set Environment
- Authors
- Oner, Tahsin; Jun, Young Bae; Senturk, Ibrahim
- Issue Date
- Mar-2024
- Publisher
- World Scientific
- Keywords
- (fuzzy) subalgebra; -fuzzy subalgebra<sub>J</sub> -fuzzy subalgebra.; Sheffer stroke BCK-algebra
- Citation
- New Mathematics and Natural Computation, v.21, no.2, pp 541 - 556
- Pages
- 16
- Indexed
- SCOPUS
ESCI
- Journal Title
- New Mathematics and Natural Computation
- Volume
- 21
- Number
- 2
- Start Page
- 541
- End Page
- 556
- ISSN
- 1793-0057
1793-7027
- Abstract
- For the purpose of dealing with the subalgebras of Sheer stroke BCK-algebras associated with the YJ -fuzzy set, the concept of YJ -fuzzy subalgebras in Sheffer stroke BCK-algebras is introduced and the properties involved are investigated. Conditions for creating a YJ fuzzy subalgebra from a given fuzzy are explored. The relationship between fuzzy subalgebra and the YJ fuzzy subalgebra is discussed, and conditions are given for the YJ -fuzzy subalgebra to be a fuzzy subalgebra. The task of creating a new YJ -fuzzy subalgebra is established using the given fuzzy subalgebra. Two types of level sets are created and the conditions under which they become subalgebras are explored. © World Scientific Publishing Company.
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