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CLASSIFICATIONS OF (α,β)-FUZZY SUBALGEBRAS OF BCK=BCI-ALGEBRASCLASSIFICATIONS OF (α,β)-FUZZY SUBALGEBRAS OF BCK=BCI-ALGEBRAS
- Other Titles
- CLASSIFICATIONS OF (α,β)-FUZZY SUBALGEBRAS OF BCK=BCI-ALGEBRAS
- Issue Date
- Sep-2014
- Publisher
- 호남수학회
- Keywords
- (fuzzy) subalgebra; (α; β)-fuzzy ubalgebra; (α; β)max-fuzzy subalgebra; t-q-set; t-∈∨q-set; (∈; q)max-fuzzy subalgebra; (q; ∈)max-fuzzy subalgebra; (q; ∈ ∨q)max-fuzzy subalgebra
- Citation
- 호남수학학술지, v.36, no.3, pp 623 - 635
- Pages
- 13
- Indexed
- KCI
- Journal Title
- 호남수학학술지
- Volume
- 36
- Number
- 3
- Start Page
- 623
- End Page
- 635
- ISSN
- 1225-293X
2288-6176
- Abstract
- Classifications of (α,β)-fuzzy subalgebras of BCK/BCI-algebras are discussed. Relations between (∈,∈ ∨q)-fuzzy subalgebras and (q,∈ ∨q)-fuzzy subalgebras are established. Given special sets, so called t-q-set and t-∈ ∨q-set, conditions for the t-q-set and t-∈ ∨q-set to be subalgebras are considered. The notions of (∈,q)max-fuzzy subalgebra, (q,∈)max-fuzzy subalgebra and (q,∈ ∨q)max-fuzzy subalgebra are introduced. Conditions for a fuzzy set to be an (∈,q)max-fuzzy subalgebra, a (q,∈)max-fuzzy subalgebra and a (q,∈ ∨q)max-fuzzy subalgebra are considered.
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Related Researcher
- Ahn, Sun Shin
- College of Education (Department of Mathematics Education)