CLASSIFICATIONS OF (α,β)-FUZZY SUBALGEBRAS OF BCK=BCI-ALGEBRAS

초록

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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