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A new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebrasA new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebras
- Other Titles
- A new form of fuzzy set and its application in $BCK$-algebras and $BCI$-algebras
- Authors
- Young Bae Jun
- Issue Date
- Oct-2023
- Publisher
- 원광대학교 기초자연과학연구소
- Keywords
- Subalgebra; J-operator; $Y_J^{; varepsilon}$-fuzzy set; nonconstant factor; $Y_J^{; varepsilon}$-fuzzy subalgebra
- Citation
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v.26, no.2, pp 165 - 175
- Pages
- 11
- Indexed
- KCICANDI
- Journal Title
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
- Volume
- 26
- Number
- 2
- Start Page
- 165
- End Page
- 175
- ISSN
- 2093-9310
2287-6235
- Abstract
- The notion of the J-operator in the closed interval $[0,1]$ is introduced and several properties are investigated. Using the J-operator, a new fuzzy set called the $Y_J^{\varepsilon}$-fuzzy set is established and it is applied it to subalgebras in $BCK/BCI$-algebras. The concept of the $Y_J^{\varepsilon}$-fuzzy subalgebra is introduced and its properties are discussed. Conditions for a fuzzy set to be a $Y_J^{\varepsilon}$-fuzzy subalgebra are provided, and the relationship between the fuzzy subalgebra and the $Y_J^{\varepsilon}$-fuzzy subalgebra is discussed.
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