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A new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebras
A new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebras
초록
The notion of the J-operator in the closed interval is introduced and several properties are investigated. Using the J-operator, a new fuzzy set called the -fuzzy set is established and it is applied it to subalgebras in -algebras. The concept of the -fuzzy subalgebra is introduced and its properties are discussed. Conditions for a fuzzy set to be a -fuzzy subalgebra are provided, and the relationship between the fuzzy subalgebra and the -fuzzy subalgebra is discussed.
키워드
Subalgebra; J-operator; $Y_J^{; varepsilon}$-fuzzy set; nonconstant factor; $Y_J^{; varepsilon}$-fuzzy subalgebra
- 제목
- A new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebras
- 제목 (타언어)
- A new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebras
- 저자
- Young Bae Jun
- 발행일
- 2023-10
- 권
- 26
- 호
- 2
- 페이지
- 165 ~ 175