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Lukasiewicz fuzzy subalgebras in BCK-algebras and BCI-algebrasLukasiewicz fuzzy subalgebras in $BCK$-algebras and $BCI$-algebras
- Other Titles
- Lukasiewicz fuzzy subalgebras in $BCK$-algebras and $BCI$-algebras
- Authors
- Young Bae Jun
- Issue Date
- Apr-2022
- Publisher
- (주) 경문사
- Keywords
- Lukasiewicz fuzzy set; (Strong) Lukasiewicz fuzzy subalgebra; ∈-set; q-set; O-set
- Citation
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, v.23, no.2, pp 213 - 223
- Pages
- 11
- Indexed
- KCI
- Journal Title
- ANNALS OF FUZZY MATHEMATICS AND INFORMATICS
- Volume
- 23
- Number
- 2
- Start Page
- 213
- End Page
- 223
- ISSN
- 2093-9310
2287-6235
- Abstract
- The idea of Lukasiewicz $t$-norm is used to construct the concept of Lukasiewicz fuzzy sets based on a given fuzzy set. The Lukasiewicz fuzzy sets are applied to $BCK$-algebras and $BCI$-algebras. Moreover, the notion of Lukasiewicz fuzzy subalgebra is introduced and its various properties are investigated. Three types of subsets so called $\in$-set, $q$-set and $O$-set are constructed, and the conditions under which they can be subalgebras are explored.
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